What are the solutions to the equation 5x^2-100x+465=0 ?

The solutions to the equation 5x^2-100x+465=0 are x=10+sqrt(7),x=10-sqrt(7)

Find the zeros of 5x^2-100x+465=0

The zeros of 5x^2-100x+465=0 are x=10+sqrt(7),x=10-sqrt(7)

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5 x^{2} - 100 x + 465 = 0

x = 10 + 7, x = 10 - 7

Decimal Notation

x = 12.64575 \dots, x = 7.35424 \dots

Solution steps

5 x^{2} - 100 x + 465 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 100 ) \pm ( - 100 ) ^{2} - 4 \cdot 5 \cdot 465}{2 \cdot 5}

(- 100)^{2} - 4 \cdot 5 \cdot 465 = 107

x_{1, 2} = \frac{- ( - 100 ) \pm 10 7}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 100 ) + 10 7}{2 \cdot 5}, x_{2} = \frac{- ( - 100 ) - 10 7}{2 \cdot 5}

x = \frac{- ( - 100 ) + 10 7}{2 \cdot 5} : 10 + 7

x = \frac{- ( - 100 ) - 10 7}{2 \cdot 5} : 10 - 7

The solutions to the quadratic equation are:

x = 10 + 7, x = 10 - 7

- 3 w^{2} - 78 = 138

v^{2} = - 9

x^{2} - 3 x - 27 = 0

3 x^{2} - 16 x + 13 = - 4

1 3^{2} + 1 2^{2} = x^{2}

What are the solutions to the equation 5x^2-100x+465=0 ?
The solutions to the equation 5x^2-100x+465=0 are x=10+sqrt(7),x=10-sqrt(7)
Find the zeros of 5x^2-100x+465=0
The zeros of 5x^2-100x+465=0 are x=10+sqrt(7),x=10-sqrt(7)