What are the solutions to the equation 7x^2-20=6x ?

The solutions to the equation 7x^2-20=6x are x=(3+sqrt(149))/7 ,x=(3-sqrt(149))/7

Find the zeros of 7x^2-20=6x

The zeros of 7x^2-20=6x are x=(3+sqrt(149))/7 ,x=(3-sqrt(149))/7

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7 x^{2} - 20 = 6 x

x = \frac{3 + 149}{7}, x = \frac{3 - 149}{7}

Decimal Notation

x = 2.17236 \dots, x = - 1.31522 \dots

Solution steps

7 x^{2} - 20 = 6 x

Move

6 x

to the left side

7 x^{2} - 20 - 6 x = 0

Write in the standard form

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

7 x^{2} - 6 x - 20 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 7 ( - 20 )}{2 \cdot 7}

(- 6)^{2} - 4 \cdot 7 (- 20) = 2149

x_{1, 2} = \frac{- ( - 6 ) \pm 2 149}{2 \cdot 7}

Separate the solutions

x_{1} = \frac{- ( - 6 ) + 2 149}{2 \cdot 7}, x_{2} = \frac{- ( - 6 ) - 2 149}{2 \cdot 7}

x = \frac{- ( - 6 ) + 2 149}{2 \cdot 7} : \frac{3 + 149}{7}

x = \frac{- ( - 6 ) - 2 149}{2 \cdot 7} : \frac{3 - 149}{7}

The solutions to the quadratic equation are:

x = \frac{3 + 149}{7}, x = \frac{3 - 149}{7}

7 n^{2} + 4 n = 8

v^{2} - 4 v - 5 = 0

x^{2} + 3 x - 18 = 0

x, f (x + 1) = 2 x^{2} + 8

x^{2} - 18 x + 42 = 0

What are the solutions to the equation 7x^2-20=6x ?
The solutions to the equation 7x^2-20=6x are x=(3+sqrt(149))/7 ,x=(3-sqrt(149))/7
Find the zeros of 7x^2-20=6x
The zeros of 7x^2-20=6x are x=(3+sqrt(149))/7 ,x=(3-sqrt(149))/7