Võrrandid, võrrandi­süsteemid ja võrratused

x\cdot x=x+x
x₁ = ; x₂ = 

2u^2+7u=-6
u₁ = ; u₂ = 

x\left(2x+1\right)=x\left(3+4x\right)
x₁ = ; x₂ = 

4\left(x+6\right)\left(x-3\right)=0
x₁ = ; x₂ = 

\frac{5}{x}=x+4
x₁ = ; x₂ = 

\frac{x}{x+2}+\frac{x+2}{x}=\frac{10}{3}
x₁ = ; x₂ = 

\frac{2x-1}{2x+1}=\frac{2x+1}{2x-1}+\frac{8}{1-4x^2}
x = 

2-\frac{x-5}{x-1}=\frac{x+3}{x-2}
x = 

Vastus. $\left\{\begin{array}{l}x=\mathrm{<semantics\; class="mathml-form-input"><annotation-xml\; encoding="application/xhtml+xml"><span\; class="gap\; fourth"\; data-key="c7f3d58c-b760-4e50-afbd-635e90e3ed9f"\; contenteditable="true"\; xmlns="http://www.w3.org/1999/xhtml"\; data-empty-is-error="true"></span></annotation-xml></semantics>}\\ y=\mathrm{<semantics\; class="mathml-form-input"><annotation-xml\; encoding="application/xhtml+xml"><span\; class="gap\; fourth"\; data-key="df85b0b3-a61c-48d1-a094-cc6be635b216"\; contenteditable="true"\; xmlns="http://www.w3.org/1999/xhtml"\; data-empty-is-error="true"></span></annotation-xml></semantics>}\end{array}\right.$

Vastus. $\left\{\begin{array}{l}x=\mathrm{<semantics\; class="mathml-form-input"><annotation-xml\; encoding="application/xhtml+xml"><span\; class="gap\; fourth"\; data-key="b613ce2b-f9e1-441b-9f4c-35b5622ddd93"\; contenteditable="true"\; xmlns="http://www.w3.org/1999/xhtml"\; data-empty-is-error="true"></span></annotation-xml></semantics>}\\ y=\mathrm{<semantics\; class="mathml-form-input"><annotation-xml\; encoding="application/xhtml+xml"><span\; class="gap\; fourth"\; data-key="09bfb98f-1f73-41f5-b6ff-7d08c5cc670b"\; contenteditable="true"\; xmlns="http://www.w3.org/1999/xhtml"\; data-empty-is-error="true"></span></annotation-xml></semantics>}\end{array}\right.$

Vastus. $\left\{\begin{array}{l}x=\mathrm{<semantics\; class="mathml-form-input"><annotation-xml\; encoding="application/xhtml+xml"><span\; class="gap\; fourth"\; data-key="8c512716-288f-43f3-bba5-c8caa36da352"\; contenteditable="true"\; xmlns="http://www.w3.org/1999/xhtml"\; data-empty-is-error="true"></span></annotation-xml></semantics>}\\ y=\mathrm{<semantics\; class="mathml-form-input"><annotation-xml\; encoding="application/xhtml+xml"><span\; class="gap\; fourth"\; data-key="111e3e7d-ab6e-4bfb-8b97-2455b39ab872"\; contenteditable="true"\; xmlns="http://www.w3.org/1999/xhtml"\; data-empty-is-error="true"></span></annotation-xml></semantics>}\end{array}\right.$

Vastus. $\left(\mathrm{<semantics\; class="mathml-form-input"><annotation-xml\; encoding="application/xhtml+xml"><span\; class="gap\; fourth"\; data-key="f4511bba-ad62-4581-9b59-d02988399eaa"\; contenteditable="true"\; xmlns="http://www.w3.org/1999/xhtml"\; data-empty-is-error="true"></span></annotation-xml></semantics>}; \mathrm{<semantics\; class="mathml-form-input"><annotation-xml\; encoding="application/xhtml+xml"><span\; class="gap\; fourth"\; data-key="2941c9e0-24c2-4392-b2fb-053ab4fdccf9"\; contenteditable="true"\; xmlns="http://www.w3.org/1999/xhtml"\; data-empty-is-error="true"></span></annotation-xml></semantics>}\right)$ ja $\left(\mathrm{<semantics\; class="mathml-form-input"><annotation-xml\; encoding="application/xhtml+xml"><span\; class="gap\; fourth"\; data-key="9eddee8f-d073-44a7-a0c3-ef52b13f05fc"\; contenteditable="true"\; xmlns="http://www.w3.org/1999/xhtml"\; data-empty-is-error="true"></span></annotation-xml></semantics>}; \mathrm{<semantics\; class="mathml-form-input"><annotation-xml\; encoding="application/xhtml+xml"><span\; class="gap\; fourth"\; data-key="d522a112-14fd-4180-8ad0-ee457cba8f4d"\; contenteditable="true"\; xmlns="http://www.w3.org/1999/xhtml"\; data-empty-is-error="true"></span></annotation-xml></semantics>}\right)$

Vastus. $\left(\mathrm{<semantics\; class="mathml-form-input"><annotation-xml\; encoding="application/xhtml+xml"><span\; class="gap\; fourth"\; data-key="7de417c3-0e45-4215-9d94-3be486350bc8"\; contenteditable="true"\; xmlns="http://www.w3.org/1999/xhtml"\; data-empty-is-error="true"></span></annotation-xml></semantics>}; \mathrm{<semantics\; class="mathml-form-input"><annotation-xml\; encoding="application/xhtml+xml"><span\; class="gap\; fourth"\; data-key="37ba9cdd-c5f7-4672-9443-cc7df23f8b16"\; contenteditable="true"\; xmlns="http://www.w3.org/1999/xhtml"\; data-empty-is-error="true"></span></annotation-xml></semantics>}\right)$

Vastus. $\left(\mathrm{<semantics\; class="mathml-form-input"><annotation-xml\; encoding="application/xhtml+xml"><span\; class="gap\; fourth"\; data-key="950cda57-cc9c-4aa2-a22e-237814996cf7"\; contenteditable="true"\; xmlns="http://www.w3.org/1999/xhtml"\; data-empty-is-error="true"></span></annotation-xml></semantics>}; \mathrm{<semantics\; class="mathml-form-input"><annotation-xml\; encoding="application/xhtml+xml"><span\; class="gap\; fourth"\; data-key="8df7bb6a-258c-46e1-aa46-1d6eaaa755c1"\; contenteditable="true"\; xmlns="http://www.w3.org/1999/xhtml"\; data-empty-is-error="true"></span></annotation-xml></semantics>}\right)$

2\left(2x-1\right)<5\left(x-0,3\right)
x ∈ 

\frac{x-1}{3}-x>\frac{x+1}{2}
x ∈ 

$\left\{\begin{array}{l}2x+4\left(x-7\right)<2\\ \frac{2x - 8}{3}-\frac{3x}{2}<4\end{array}\right.$
x ∈ 

$\left\{\begin{array}{l}2x-4\ge 10x+12\\ x\left(x-4\right)\le -4\end{array}\right.$
x ∈ 

\left(5x-1\right)^2\ge36
x ∈ 

4y^2\le100
y ∈ 

x^2-12x+36\le0
x ∈ 

\left(t-3\right)\left(t+4\right)\le0
t ∈ 

\left(x-2\right)^2+3\ge0
x ∈ 

-x^2+\frac{2x}{3}>\frac{1}{9}
x ∈