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Popular >

(x-1)-7>(x-2)^2

Solution

(x - 1) - 7 > (x - 2)^{2}

Solution

No Solution

Solution steps

x - 1 - 7 > (x - 2)^{2}

Rewrite in standard form

5 x - 12 - x^{2} > 0

Complete the square

5 x - 12 - x^{2} : - (x - \frac{5}{2})^{2} - \frac{23}{4}

- (x - \frac{5}{2})^{2} - \frac{23}{4} > 0

Move

\frac{23}{4}

to the right side

- (x - \frac{5}{2})^{2} > \frac{23}{4}

Multiply both sides by

- 1

(x - \frac{5}{2})^{2} < - \frac{23}{4}

If n is even,

u^{n} \geq 0

for all

u

No Solution for x \in R

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Frequently Asked Questions (FAQ)

What is (x-1)-7>(x-2)^2 ?
The solution to (x-1)-7>(x-2)^2 is No Solution