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1

Solved example of Quadratic formula

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

2

Moving the term $4$ to the other side of the inequation with opposite sign

$-x^2\geq x-6$

3

Multiply both sides of the inequality by $-1$, reversing the sign

$x^2\leq -\left(x-6\right)$

4

Removing the variable's exponent

$\sqrt{x^2}\leq \sqrt{-\left(x-6\right)}$

5

Applying the power of a power property

$x\leq \sqrt{-\left(x-6\right)}$

6

The power of a product is equal to the product of it's factors raised to the same power

$x\leq \sqrt{-1}\sqrt{x-6}$

7

Calculate the power using complex numbers

$x\leq \sqrt{x-6}i$

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