What are the solutions to the equation 8x^2-8x-15=5x^2 ?

The solutions to the equation 8x^2-8x-15=5x^2 are x=(4+sqrt(61))/3 ,x=(4-sqrt(61))/3

Find the zeros of 8x^2-8x-15=5x^2

The zeros of 8x^2-8x-15=5x^2 are x=(4+sqrt(61))/3 ,x=(4-sqrt(61))/3

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8 x^{2} - 8 x - 15 = 5 x^{2}

x = \frac{4 + 61}{3}, x = \frac{4 - 61}{3}

Solution steps

8 x^{2} - 8 x - 15 = 5 x^{2}

Move

5 x^{2}

to the left side

3 x^{2} - 8 x - 15 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 3 ( - 15 )}{2 \cdot 3}

(- 8)^{2} - 4 \cdot 3 (- 15) = 261

x_{1, 2} = \frac{- ( - 8 ) \pm 2 61}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 8 ) + 2 61}{2 \cdot 3}, x_{2} = \frac{- ( - 8 ) - 2 61}{2 \cdot 3}

x = \frac{- ( - 8 ) + 2 61}{2 \cdot 3} : \frac{4 + 61}{3}

x = \frac{- ( - 8 ) - 2 61}{2 \cdot 3} : \frac{4 - 61}{3}

The solutions to the quadratic equation are:

x = \frac{4 + 61}{3}, x = \frac{4 - 61}{3}

9 = 18 - 0.3 x

10 \cdot 9 \cdot 8 \cdot 7 \cdot 6

24 = - 11 v - 8 + 3 v

3 x - 5 = 2 x - 1

6 x^{2} - 4 x + 7 = 4 x^{2} + 5 x

What are the solutions to the equation 8x^2-8x-15=5x^2 ?
The solutions to the equation 8x^2-8x-15=5x^2 are x=(4+sqrt(61))/3 ,x=(4-sqrt(61))/3
Find the zeros of 8x^2-8x-15=5x^2
The zeros of 8x^2-8x-15=5x^2 are x=(4+sqrt(61))/3 ,x=(4-sqrt(61))/3