What are the solutions to the equation 5x^2-50x+95=0 ?

The solutions to the equation 5x^2-50x+95=0 are x=5+sqrt(6),x=5-sqrt(6)

Find the zeros of 5x^2-50x+95=0

The zeros of 5x^2-50x+95=0 are x=5+sqrt(6),x=5-sqrt(6)

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5 x^{2} - 50 x + 95 = 0

x = 5 + 6, x = 5 - 6

Decimal Notation

x = 7.44948 \dots, x = 2.55051 \dots

Solution steps

5 x^{2} - 50 x + 95 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 50 ) \pm ( - 50 ) ^{2} - 4 \cdot 5 \cdot 95}{2 \cdot 5}

(- 50)^{2} - 4 \cdot 5 \cdot 95 = 106

x_{1, 2} = \frac{- ( - 50 ) \pm 10 6}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 50 ) + 10 6}{2 \cdot 5}, x_{2} = \frac{- ( - 50 ) - 10 6}{2 \cdot 5}

x = \frac{- ( - 50 ) + 10 6}{2 \cdot 5} : 5 + 6

x = \frac{- ( - 50 ) - 10 6}{2 \cdot 5} : 5 - 6

The solutions to the quadratic equation are:

x = 5 + 6, x = 5 - 6

x^{2} - 5 x - 30 = 0

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

x^{2} - 7 + 10 = 0

9 x^{2} - 16 x + 52 = 8 x^{2}

(2 x + 5) (x - 3) = 0

What are the solutions to the equation 5x^2-50x+95=0 ?
The solutions to the equation 5x^2-50x+95=0 are x=5+sqrt(6),x=5-sqrt(6)
Find the zeros of 5x^2-50x+95=0
The zeros of 5x^2-50x+95=0 are x=5+sqrt(6),x=5-sqrt(6)