What are the solutions to the equation 7x^2+2=8x ?

The solutions to the equation 7x^2+2=8x are x=(4+sqrt(2))/7 ,x=(4-sqrt(2))/7

Find the zeros of 7x^2+2=8x

The zeros of 7x^2+2=8x are x=(4+sqrt(2))/7 ,x=(4-sqrt(2))/7

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

7 x^{2} + 2 = 8 x

x = \frac{4 + 2}{7}, x = \frac{4 - 2}{7}

Decimal Notation

x = 0.77345 \dots, x = 0.36939 \dots

Solution steps

7 x^{2} + 2 = 8 x

Move

8 x

to the left side

7 x^{2} + 2 - 8 x = 0

Write in the standard form

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

7 x^{2} - 8 x + 2 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 7 \cdot 2}{2 \cdot 7}

(- 8)^{2} - 4 \cdot 7 \cdot 2 = 22

x_{1, 2} = \frac{- ( - 8 ) \pm 2 2}{2 \cdot 7}

Separate the solutions

x_{1} = \frac{- ( - 8 ) + 2 2}{2 \cdot 7}, x_{2} = \frac{- ( - 8 ) - 2 2}{2 \cdot 7}

x = \frac{- ( - 8 ) + 2 2}{2 \cdot 7} : \frac{4 + 2}{7}

x = \frac{- ( - 8 ) - 2 2}{2 \cdot 7} : \frac{4 - 2}{7}

The solutions to the quadratic equation are:

x = \frac{4 + 2}{7}, x = \frac{4 - 2}{7}

x, 9 x^{2} + 12 x y + 4 y^{2} - 22 x - 84 y + 129 = 0

2 x + x^{2} = 24

4000 - 520 x + 12 x^{2} = 0

15 x^{2} + 23 x - 28 = 0

x^{2} - 6 x + 42 = 0

What are the solutions to the equation 7x^2+2=8x ?
The solutions to the equation 7x^2+2=8x are x=(4+sqrt(2))/7 ,x=(4-sqrt(2))/7
Find the zeros of 7x^2+2=8x
The zeros of 7x^2+2=8x are x=(4+sqrt(2))/7 ,x=(4-sqrt(2))/7