What are the solutions to the equation x^2-(2x-21)^2=144 ?

The solutions to the equation x^2-(2x-21)^2=144 are x=13,x=15

Find the zeros of x^2-(2x-21)^2=144

The zeros of x^2-(2x-21)^2=144 are x=13,x=15

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^{2} - (2 x - 21)^{2} = 144

x = 13, x = 15

Solution steps

x^{2} - (2 x - 21)^{2} = 144

Expand

x^{2} - (2 x - 21)^{2} : - 3 x^{2} + 84 x - 441

- 3 x^{2} + 84 x - 441 = 144

Move

144

to the left side

- 3 x^{2} + 84 x - 585 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 84 \pm 8 4 ^{2} - 4 ( - 3 ) ( - 585 )}{2 ( - 3 )}

8 4^{2} - 4 (- 3) (- 585) = 6

x_{1, 2} = \frac{- 84 \pm 6}{2 ( - 3 )}

Separate the solutions

x_{1} = \frac{- 84 + 6}{2 ( - 3 )}, x_{2} = \frac{- 84 - 6}{2 ( - 3 )}

x = \frac{- 84 + 6}{2 ( - 3 )} : 13

x = \frac{- 84 - 6}{2 ( - 3 )} : 15

The solutions to the quadratic equation are:

x = 13, x = 15

8 x^{2} - 35 = - 18 x

15 - x^{2} = - 14

5 (x + 3)^{2} - 3 = 42

x^{2} + 4 x + 4 = 3 x + 10

6 x^{2} + 2 x - 28 = 0

What are the solutions to the equation x^2-(2x-21)^2=144 ?
The solutions to the equation x^2-(2x-21)^2=144 are x=13,x=15
Find the zeros of x^2-(2x-21)^2=144
The zeros of x^2-(2x-21)^2=144 are x=13,x=15