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Popular >

x-x^2-1<= 0

Solution

x - x^{2} - 1 \leq 0

Solution

True for all x

+1

Interval Notation

(- \infty, \infty)

Solution steps

x - x^{2} - 1 \leq 0

Complete the square

x - x^{2} - 1 : - (x - \frac{1}{2})^{2} - \frac{3}{4}

- (x - \frac{1}{2})^{2} - \frac{3}{4} \leq 0

Move

\frac{3}{4}

to the right side

- (x - \frac{1}{2})^{2} \leq \frac{3}{4}

Multiply both sides by

- 1

(x - \frac{1}{2})^{2} \geq - \frac{3}{4}

If n is even,

u^{n} \geq 0

for all

u

True for all x

Popular Examples

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3 v^{2} - 8 v - 3

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\frac{- 1 + 8 i}{- i}

x^{0} = 1

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6 \times 6

factor 21x^2-70xy+49y^2 factor

21 x^{2} - 70 x y + 49 y^{2}

Frequently Asked Questions (FAQ)

What is x-x^2-1<= 0 ?
The solution to x-x^2-1<= 0 is True for all x