What are the solutions to the equation 5x^2-1=7x ?

The solutions to the equation 5x^2-1=7x are x=(7+sqrt(69))/(10),x=(7-sqrt(69))/(10)

Find the zeros of 5x^2-1=7x

The zeros of 5x^2-1=7x are x=(7+sqrt(69))/(10),x=(7-sqrt(69))/(10)

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5 x^{2} - 1 = 7 x

x = \frac{7 + 69}{10}, x = \frac{7 - 69}{10}

Decimal Notation

x = 1.53066 \dots, x = - 0.13066 \dots

Solution steps

5 x^{2} - 1 = 7 x

Move

7 x

to the left side

5 x^{2} - 1 - 7 x = 0

Write in the standard form

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

5 x^{2} - 7 x - 1 = 0

Solve with the quadratic formula

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

(- 7)^{2} - 4 \cdot 5 (- 1) = 69

x_{1, 2} = \frac{- ( - 7 ) \pm 69}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 7 ) + 69}{2 \cdot 5}, x_{2} = \frac{- ( - 7 ) - 69}{2 \cdot 5}

x = \frac{- ( - 7 ) + 69}{2 \cdot 5} : \frac{7 + 69}{10}

x = \frac{- ( - 7 ) - 69}{2 \cdot 5} : \frac{7 - 69}{10}

The solutions to the quadratic equation are:

x = \frac{7 + 69}{10}, x = \frac{7 - 69}{10}

- 7 - 4 (x + 3)^{2} = - 71

(x - 9) = x^{2} - 81

x (x + 8) = 16 (x - 1)

- 3 c^{2} + 6 c = 0

\frac{5}{2} x^{2} - 4 x + 2 = 0

What are the solutions to the equation 5x^2-1=7x ?
The solutions to the equation 5x^2-1=7x are x=(7+sqrt(69))/(10),x=(7-sqrt(69))/(10)
Find the zeros of 5x^2-1=7x
The zeros of 5x^2-1=7x are x=(7+sqrt(69))/(10),x=(7-sqrt(69))/(10)