What are the solutions to the equation 5x^2-80x-905=0 ?

The solutions to the equation 5x^2-80x-905=0 are x=8+7sqrt(5),x=8-7sqrt(5)

Find the zeros of 5x^2-80x-905=0

The zeros of 5x^2-80x-905=0 are x=8+7sqrt(5),x=8-7sqrt(5)

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5 x^{2} - 80 x - 905 = 0

x = 8 + 75, x = 8 - 75

Decimal

x = 23.65247 \dots, x = - 7.65247 \dots

Solution steps

5 x^{2} - 80 x - 905 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 80 ) \pm ( - 80 ) ^{2} - 4 \cdot 5 ( - 905 )}{2 \cdot 5}

(- 80)^{2} - 4 \cdot 5 (- 905) = 705

x_{1, 2} = \frac{- ( - 80 ) \pm 70 5}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 80 ) + 70 5}{2 \cdot 5}, x_{2} = \frac{- ( - 80 ) - 70 5}{2 \cdot 5}

x = \frac{- ( - 80 ) + 70 5}{2 \cdot 5} : 8 + 75

x = \frac{- ( - 80 ) - 70 5}{2 \cdot 5} : 8 - 75

The solutions to the quadratic equation are:

x = 8 + 75, x = 8 - 75

x, 16 x - x^{2} = 28

x^{2} + 62 = 16 x

130 x^{2} - 36 x - 45 = 0

x^{2} + x - 30 = 0

x^{2} - 24 x + 114 = 19

What are the solutions to the equation 5x^2-80x-905=0 ?
The solutions to the equation 5x^2-80x-905=0 are x=8+7sqrt(5),x=8-7sqrt(5)
Find the zeros of 5x^2-80x-905=0
The zeros of 5x^2-80x-905=0 are x=8+7sqrt(5),x=8-7sqrt(5)