What are the solutions to the equation 5g^2-8=6g ?

The solutions to the equation 5g^2-8=6g are g=2,g=-4/5

Find the zeros of 5g^2-8=6g

The zeros of 5g^2-8=6g are g=2,g=-4/5

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5 g^{2} - 8 = 6 g

g = 2, g = - \frac{4}{5}

Decimal Notation

g = 2, g = - 0.8

Solution steps

5 g^{2} - 8 = 6 g

Move

6 g

to the left side

5 g^{2} - 8 - 6 g = 0

Write in the standard form

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

5 g^{2} - 6 g - 8 = 0

Solve with the quadratic formula

g_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 5 ( - 8 )}{2 \cdot 5}

(- 6)^{2} - 4 \cdot 5 (- 8) = 14

g_{1, 2} = \frac{- ( - 6 ) \pm 14}{2 \cdot 5}

Separate the solutions

g_{1} = \frac{- ( - 6 ) + 14}{2 \cdot 5}, g_{2} = \frac{- ( - 6 ) - 14}{2 \cdot 5}

g = \frac{- ( - 6 ) + 14}{2 \cdot 5} : 2

g = \frac{- ( - 6 ) - 14}{2 \cdot 5} : - \frac{4}{5}

The solutions to the quadratic equation are:

g = 2, g = - \frac{4}{5}

x^{2} + 7 x + 27 = 0

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

3 s^{2} - 13 s + 4 = 0

2 m^{2} - m - 8 = 0

7 x^{2} + 2 x = 0

What are the solutions to the equation 5g^2-8=6g ?
The solutions to the equation 5g^2-8=6g are g=2,g=-4/5
Find the zeros of 5g^2-8=6g
The zeros of 5g^2-8=6g are g=2,g=-4/5