Step-by-step Solution

Solve the inequality $4-x^2\geq x-2$

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Step-by-step explanation

Problem to solve:

$4-x^2\geq x-2$

Learn how to solve inequalities problems step by step online.

$4-x^2-x\geq -2$

Unlock this full step-by-step solution!

Learn how to solve inequalities problems step by step online. Solve the inequality 4-x^2>=x-2. Grouping terms. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (-1) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+1x+\frac{1}{4}.

Final Answer

$x\leq 2$

Problem Analysis

$4-x^2\geq x-2$

Main topic:

Inequalities

Time to solve it:

~ 0.04 seconds