What are the solutions to the equation 5x^2-50x+90=0 ?

The solutions to the equation 5x^2-50x+90=0 are x=5+sqrt(7),x=5-sqrt(7)

Find the zeros of 5x^2-50x+90=0

The zeros of 5x^2-50x+90=0 are x=5+sqrt(7),x=5-sqrt(7)

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5 x^{2} - 50 x + 90 = 0

x = 5 + 7, x = 5 - 7

Decimal Notation

x = 7.64575 \dots, x = 2.35424 \dots

Solution steps

5 x^{2} - 50 x + 90 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 50 ) \pm ( - 50 ) ^{2} - 4 \cdot 5 \cdot 90}{2 \cdot 5}

(- 50)^{2} - 4 \cdot 5 \cdot 90 = 107

x_{1, 2} = \frac{- ( - 50 ) \pm 10 7}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 50 ) + 10 7}{2 \cdot 5}, x_{2} = \frac{- ( - 50 ) - 10 7}{2 \cdot 5}

x = \frac{- ( - 50 ) + 10 7}{2 \cdot 5} : 5 + 7

x = \frac{- ( - 50 ) - 10 7}{2 \cdot 5} : 5 - 7

The solutions to the quadratic equation are:

x = 5 + 7, x = 5 - 7

5 x^{2} + 9 x = - 2

352

4 - \frac{x + 2}{4} = x - 4

\frac{1}{8 ^{- 9}}

1500 = x^{2} + 20 x

What are the solutions to the equation 5x^2-50x+90=0 ?
The solutions to the equation 5x^2-50x+90=0 are x=5+sqrt(7),x=5-sqrt(7)
Find the zeros of 5x^2-50x+90=0
The zeros of 5x^2-50x+90=0 are x=5+sqrt(7),x=5-sqrt(7)