What are the solutions to the equation x^2-20x+90=0 ?

The solutions to the equation x^2-20x+90=0 are x=10+sqrt(10),x=10-sqrt(10)

Find the zeros of x^2-20x+90=0

The zeros of x^2-20x+90=0 are x=10+sqrt(10),x=10-sqrt(10)

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x^{2} - 20 x + 90 = 0

x = 10 + 10, x = 10 - 10

Decimal Notation

x = 13.16227 \dots, x = 6.83772 \dots

Solution steps

x^{2} - 20 x + 90 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 20 ) \pm ( - 20 ) ^{2} - 4 \cdot 1 \cdot 90}{2 \cdot 1}

(- 20)^{2} - 4 \cdot 1 \cdot 90 = 210

x_{1, 2} = \frac{- ( - 20 ) \pm 2 10}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 20 ) + 2 10}{2 \cdot 1}, x_{2} = \frac{- ( - 20 ) - 2 10}{2 \cdot 1}

x = \frac{- ( - 20 ) + 2 10}{2 \cdot 1} : 10 + 10

x = \frac{- ( - 20 ) - 2 10}{2 \cdot 1} : 10 - 10

The solutions to the quadratic equation are:

x = 10 + 10, x = 10 - 10

2 y^{2} - 3 y - 9 = 0

x^{2} - 14 x - 11 = - 30

(x + 1)^{2} - 1 \frac{1}{3} = 0

x, (x + 8)^{2} = 16

y, y^{2} + x^{2} = 0

What are the solutions to the equation x^2-20x+90=0 ?
The solutions to the equation x^2-20x+90=0 are x=10+sqrt(10),x=10-sqrt(10)
Find the zeros of x^2-20x+90=0
The zeros of x^2-20x+90=0 are x=10+sqrt(10),x=10-sqrt(10)