What are the solutions to the equation h^2=10h-3^2 ?

The solutions to the equation h^2=10h-3^2 are h=9,h=1

Find the zeros of h^2=10h-3^2

The zeros of h^2=10h-3^2 are h=9,h=1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

h^{2} = 10 h - 3^{2}

h = 9, h = 1

Solution steps

h^{2} = 10 h - 3^{2}

Expand

10 h - 3^{2} : 10 h - 9

h^{2} = 10 h - 9

Move

9

to the left side

h^{2} + 9 = 10 h

Move

10 h

to the left side

h^{2} + 9 - 10 h = 0

Write in the standard form

a x^{2} + b x + c = 0

h^{2} - 10 h + 9 = 0

Solve with the quadratic formula

h_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 1 \cdot 9}{2 \cdot 1}

(- 10)^{2} - 4 \cdot 1 \cdot 9 = 8

h_{1, 2} = \frac{- ( - 10 ) \pm 8}{2 \cdot 1}

Separate the solutions

h_{1} = \frac{- ( - 10 ) + 8}{2 \cdot 1}, h_{2} = \frac{- ( - 10 ) - 8}{2 \cdot 1}

h = \frac{- ( - 10 ) + 8}{2 \cdot 1} : 9

h = \frac{- ( - 10 ) - 8}{2 \cdot 1} : 1

The solutions to the quadratic equation are:

h = 9, h = 1

x^{2} + 6 x + 8 = 0

4 x^{2} + 18 x - 70 = 0

3 x^{2} + 12 x = 12

4 x^{2} - 4 x + 1 = 0

y, 3 x^{2} - 3 y^{2} = 0

What are the solutions to the equation h^2=10h-3^2 ?
The solutions to the equation h^2=10h-3^2 are h=9,h=1
Find the zeros of h^2=10h-3^2
The zeros of h^2=10h-3^2 are h=9,h=1