What are the solutions to the equation 5x^2-7x-7=0 ?

The solutions to the equation 5x^2-7x-7=0 are x=(7+3sqrt(21))/(10),x=(7-3sqrt(21))/(10)

Find the zeros of 5x^2-7x-7=0

The zeros of 5x^2-7x-7=0 are x=(7+3sqrt(21))/(10),x=(7-3sqrt(21))/(10)

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

x = \frac{7 + 3 21}{10}, x = \frac{7 - 3 21}{10}

Decimal Notation

x = 2.07477 \dots, x = - 0.67477 \dots

Solution steps

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

Solve with the quadratic formula

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

(- 7)^{2} - 4 \cdot 5 (- 7) = 321

x_{1, 2} = \frac{- ( - 7 ) \pm 3 21}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 7 ) + 3 21}{2 \cdot 5}, x_{2} = \frac{- ( - 7 ) - 3 21}{2 \cdot 5}

x = \frac{- ( - 7 ) + 3 21}{2 \cdot 5} : \frac{7 + 3 21}{10}

x = \frac{- ( - 7 ) - 3 21}{2 \cdot 5} : \frac{7 - 3 21}{10}

The solutions to the quadratic equation are:

x = \frac{7 + 3 21}{10}, x = \frac{7 - 3 21}{10}

9 x^{2} - 24 x - 28 = 0

x, x^{2} - k x + 100 = 0

a, b + 1 - ba - b a^{2} = 0

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

- 3 x^{2} + 5 x + 8 = 0

What are the solutions to the equation 5x^2-7x-7=0 ?
The solutions to the equation 5x^2-7x-7=0 are x=(7+3sqrt(21))/(10),x=(7-3sqrt(21))/(10)
Find the zeros of 5x^2-7x-7=0
The zeros of 5x^2-7x-7=0 are x=(7+3sqrt(21))/(10),x=(7-3sqrt(21))/(10)