What are the solutions to the equation 7x^2-16x=8 ?

The solutions to the equation 7x^2-16x=8 are x=(2(4+sqrt(30)))/7 ,x=(2(4-sqrt(30)))/7

Find the zeros of 7x^2-16x=8

The zeros of 7x^2-16x=8 are x=(2(4+sqrt(30)))/7 ,x=(2(4-sqrt(30)))/7

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7 x^{2} - 16 x = 8

x = \frac{2 ( 4 + 30 )}{7}, x = \frac{2 ( 4 - 30 )}{7}

Decimal Notation

x = 2.70777 \dots, x = - 0.42206 \dots

Solution steps

7 x^{2} - 16 x = 8

Move

8

to the left side

7 x^{2} - 16 x - 8 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 16 ) \pm ( - 16 ) ^{2} - 4 \cdot 7 ( - 8 )}{2 \cdot 7}

(- 16)^{2} - 4 \cdot 7 (- 8) = 430

x_{1, 2} = \frac{- ( - 16 ) \pm 4 30}{2 \cdot 7}

Separate the solutions

x_{1} = \frac{- ( - 16 ) + 4 30}{2 \cdot 7}, x_{2} = \frac{- ( - 16 ) - 4 30}{2 \cdot 7}

x = \frac{- ( - 16 ) + 4 30}{2 \cdot 7} : \frac{2 ( 4 + 30 )}{7}

x = \frac{- ( - 16 ) - 4 30}{2 \cdot 7} : \frac{2 ( 4 - 30 )}{7}

The solutions to the quadratic equation are:

x = \frac{2 ( 4 + 30 )}{7}, x = \frac{2 ( 4 - 30 )}{7}

x^{2} + 8 x + 12 = 0

6 x^{2} + x - 15

s^{3} + 6 s^{2} + 11 s + 6

x^{4} - 3 x^{3} + 3 x^{2} - x

4 x^{2} - 9 = 135

What are the solutions to the equation 7x^2-16x=8 ?
The solutions to the equation 7x^2-16x=8 are x=(2(4+sqrt(30)))/7 ,x=(2(4-sqrt(30)))/7
Find the zeros of 7x^2-16x=8
The zeros of 7x^2-16x=8 are x=(2(4+sqrt(30)))/7 ,x=(2(4-sqrt(30)))/7