What are the solutions to the equation 39= 1/2 (h-7)h ?

The solutions to the equation 39= 1/2 (h-7)h are h=13,h=-6

Find the zeros of 39= 1/2 (h-7)h

The zeros of 39= 1/2 (h-7)h are h=13,h=-6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

39 = \frac{1}{2} (h - 7) h

h = 13, h = - 6

Solution steps

39 = \frac{1}{2} (h - 7) h

Multiply both sides by

2

78 = h (h - 7)

Expand

h (h - 7) : h^{2} - 7 h

78 = h^{2} - 7 h

Switch sides

h^{2} - 7 h = 78

Move

78

to the left side

h^{2} - 7 h - 78 = 0

Solve with the quadratic formula

h_{1, 2} = \frac{- ( - 7 ) \pm ( - 7 ) ^{2} - 4 \cdot 1 \cdot ( - 78 )}{2 \cdot 1}

(- 7)^{2} - 4 \cdot 1 \cdot (- 78) = 19

h_{1, 2} = \frac{- ( - 7 ) \pm 19}{2 \cdot 1}

Separate the solutions

h_{1} = \frac{- ( - 7 ) + 19}{2 \cdot 1}, h_{2} = \frac{- ( - 7 ) - 19}{2 \cdot 1}

h = \frac{- ( - 7 ) + 19}{2 \cdot 1} : 13

h = \frac{- ( - 7 ) - 19}{2 \cdot 1} : - 6

The solutions to the quadratic equation are:

h = 13, h = - 6

(52)^{2} = 1^{2} + x^{2}

x^{2} + 15 x + 21 = 0

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

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

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

What are the solutions to the equation 39= 1/2 (h-7)h ?
The solutions to the equation 39= 1/2 (h-7)h are h=13,h=-6
Find the zeros of 39= 1/2 (h-7)h
The zeros of 39= 1/2 (h-7)h are h=13,h=-6