What are the solutions to the equation x^2-20x=-85 ?

The solutions to the equation x^2-20x=-85 are x=10+sqrt(15),x=10-sqrt(15)

Find the zeros of x^2-20x=-85

The zeros of x^2-20x=-85 are x=10+sqrt(15),x=10-sqrt(15)

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x^{2} - 20 x = - 85

x = 10 + 15, x = 10 - 15

Decimal Notation

x = 13.87298 \dots, x = 6.12701 \dots

Solution steps

x^{2} - 20 x = - 85

Move

85

to the left side

x^{2} - 20 x + 85 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 20 ) \pm ( - 20 ) ^{2} - 4 \cdot 1 \cdot 85}{2 \cdot 1}

(- 20)^{2} - 4 \cdot 1 \cdot 85 = 215

x_{1, 2} = \frac{- ( - 20 ) \pm 2 15}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 20 ) + 2 15}{2 \cdot 1}, x_{2} = \frac{- ( - 20 ) - 2 15}{2 \cdot 1}

x = \frac{- ( - 20 ) + 2 15}{2 \cdot 1} : 10 + 15

x = \frac{- ( - 20 ) - 2 15}{2 \cdot 1} : 10 - 15

The solutions to the quadratic equation are:

x = 10 + 15, x = 10 - 15

6 x^{2} - 15 x + 2 = 2 x^{2} + 10 x - 4

4 (x - 5)^{2} + 20 = 0

1 = 5 x^{2} + 4 x

x^{2} + 14 x = 12

1 5^{2} + x^{2} = 2 0^{2}

What are the solutions to the equation x^2-20x=-85 ?
The solutions to the equation x^2-20x=-85 are x=10+sqrt(15),x=10-sqrt(15)
Find the zeros of x^2-20x=-85
The zeros of x^2-20x=-85 are x=10+sqrt(15),x=10-sqrt(15)