What are the solutions to the equation 5x^2=7x+6 ?

The solutions to the equation 5x^2=7x+6 are x=2,x=-3/5

Find the zeros of 5x^2=7x+6

The zeros of 5x^2=7x+6 are x=2,x=-3/5

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5 x^{2} = 7 x + 6

x = 2, x = - \frac{3}{5}

Solution steps

5 x^{2} = 7 x + 6

Move

6

to the left side

5 x^{2} - 6 = 7 x

Move

7 x

to the left side

5 x^{2} - 6 - 7 x = 0

Write in the standard form

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

5 x^{2} - 7 x - 6 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 7 ) \pm ( - 7 ) ^{2} - 4 \cdot 5 ( - 6 )}{2 \cdot 5}

(- 7)^{2} - 4 \cdot 5 (- 6) = 13

x_{1, 2} = \frac{- ( - 7 ) \pm 13}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 7 ) + 13}{2 \cdot 5}, x_{2} = \frac{- ( - 7 ) - 13}{2 \cdot 5}

x = \frac{- ( - 7 ) + 13}{2 \cdot 5} : 2

x = \frac{- ( - 7 ) - 13}{2 \cdot 5} : - \frac{3}{5}

The solutions to the quadratic equation are:

x = 2, x = - \frac{3}{5}

4 \cdot \frac{7}{4}

\frac{2}{7} + \frac{3}{7}

81 m^{2} - 16

- 4 y - 25 \leq 2 y + 17

4 x^{3} + 7 x^{2} - 52 x - 91

What are the solutions to the equation 5x^2=7x+6 ?
The solutions to the equation 5x^2=7x+6 are x=2,x=-3/5
Find the zeros of 5x^2=7x+6
The zeros of 5x^2=7x+6 are x=2,x=-3/5