What are the solutions to the equation x^2-ax-90a^2=0 ?

The solutions to the equation x^2-ax-90a^2=0 are x=10a,x=-9a

Find the zeros of x^2-ax-90a^2=0

The zeros of x^2-ax-90a^2=0 are x=10a,x=-9a

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^{2} - a x - 90 a^{2} = 0

x = 10 a, x = - 9 a

Solution steps

x^{2} - a x - 90 a^{2} = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - a ) \pm ( - a ) ^{2} - 4 \cdot 1 \cdot ( - 90 a ^{2} )}{2 \cdot 1}

Simplify

(- a)^{2} - 4 \cdot 1 \cdot (- 90 a^{2}) : 19 a

x_{1, 2} = \frac{- ( - a ) \pm 19 a}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - a ) + 19 a}{2 \cdot 1}, x_{2} = \frac{- ( - a ) - 19 a}{2 \cdot 1}

x = \frac{- ( - a ) + 19 a}{2 \cdot 1} : 10 a

x = \frac{- ( - a ) - 19 a}{2 \cdot 1} : - 9 a

The solutions to the quadratic equation are:

x = 10 a, x = - 9 a

5 x^{2} - 10 x + 24 = 0

- 2 p^{2} - 42 p = 32

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

a^{2} + 8^{2} = 9^{2}

- 12 x^{2} + 96 x + 100 = 0

What are the solutions to the equation x^2-ax-90a^2=0 ?
The solutions to the equation x^2-ax-90a^2=0 are x=10a,x=-9a
Find the zeros of x^2-ax-90a^2=0
The zeros of x^2-ax-90a^2=0 are x=10a,x=-9a