What are the solutions to the equation completesquare (300+10x)(1.6-0.1x) ?

The solutions to the equation completesquare (300+10x)(1.6-0.1x) are -(x+7)^2+529

Find the zeros of completesquare (300+10x)(1.6-0.1x)

The zeros of completesquare (300+10x)(1.6-0.1x) are -(x+7)^2+529

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

complete the square

(300 + 10 x) (1.6 - 0.1 x)

- (x + 7)^{2} + 529

Solution steps

(300 + 10 x) (1.6 - 0.1 x)

Write in the standard form

a x^{2} + b x + c

- x^{2} - 14 x + 480

Write

- x^{2} - 14 x + 480

in the form:

x^{2} + 2 a x + a^{2}

Factor out

- 1

- (x^{2} + 14 x - 480)

2 a = 14 : a = 7

Add and subtract

7^{2}

- (x^{2} + 14 x - 480 + 7^{2} - 7^{2})

x^{2} + 2 a x + a^{2} = (x + a)^{2}

x^{2} + 14 x + 7^{2} = (x + 7)^{2}

- ((x + 7)^{2} - 480 - 7^{2})

Simplify

- (x + 7)^{2} + 529

(3 x - 2) (2 x + 1) = 0

s^{2} + 3 s - 10 = 0

x^{2} - a x - b x + ab = 0

- 2 x^{2} = - 512

4 n^{2} + 5 n = 6

What are the solutions to the equation completesquare (300+10x)(1.6-0.1x) ?
The solutions to the equation completesquare (300+10x)(1.6-0.1x) are -(x+7)^2+529
Find the zeros of completesquare (300+10x)(1.6-0.1x)
The zeros of completesquare (300+10x)(1.6-0.1x) are -(x+7)^2+529