What are the solutions to the equation 10x^2=-7x+6 ?

The solutions to the equation 10x^2=-7x+6 are x= 1/2 ,x=-6/5

Find the zeros of 10x^2=-7x+6

The zeros of 10x^2=-7x+6 are x= 1/2 ,x=-6/5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

10 x^{2} = - 7 x + 6

x = \frac{1}{2}, x = - \frac{6}{5}

Decimal Notation

x = 0.5, x = - 1.2

Solution steps

10 x^{2} = - 7 x + 6

Move

6

to the left side

10 x^{2} - 6 = - 7 x

Move

7 x

to the left side

10 x^{2} - 6 + 7 x = 0

Write in the standard form

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

10 x^{2} + 7 x - 6 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 7 \pm 7 ^{2} - 4 \cdot 10 ( - 6 )}{2 \cdot 10}

7^{2} - 4 \cdot 10 (- 6) = 17

x_{1, 2} = \frac{- 7 \pm 17}{2 \cdot 10}

Separate the solutions

x_{1} = \frac{- 7 + 17}{2 \cdot 10}, x_{2} = \frac{- 7 - 17}{2 \cdot 10}

x = \frac{- 7 + 17}{2 \cdot 10} : \frac{1}{2}

x = \frac{- 7 - 17}{2 \cdot 10} : - \frac{6}{5}

The solutions to the quadratic equation are:

x = \frac{1}{2}, x = - \frac{6}{5}

a^{2} + 4 a - 12 = 0

c = 0.05 x^{2} - 5 x + 500

6^{2} + 7^{2} = x^{2}

2 x^{2} - 12 x + 7

2 s^{2} + s + 2

What are the solutions to the equation 10x^2=-7x+6 ?
The solutions to the equation 10x^2=-7x+6 are x= 1/2 ,x=-6/5
Find the zeros of 10x^2=-7x+6
The zeros of 10x^2=-7x+6 are x= 1/2 ,x=-6/5