What are the solutions to the equation y^2-10y+20=0 ?

The solutions to the equation y^2-10y+20=0 are y=5+sqrt(5),y=5-sqrt(5)

Find the zeros of y^2-10y+20=0

The zeros of y^2-10y+20=0 are y=5+sqrt(5),y=5-sqrt(5)

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y^{2} - 10 y + 20 = 0

y = 5 + 5, y = 5 - 5

Solution steps

y^{2} - 10 y + 20 = 0

Solve with the quadratic formula

y_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 1 \cdot 20}{2 \cdot 1}

(- 10)^{2} - 4 \cdot 1 \cdot 20 = 25

y_{1, 2} = \frac{- ( - 10 ) \pm 2 5}{2 \cdot 1}

Separate the solutions

y_{1} = \frac{- ( - 10 ) + 2 5}{2 \cdot 1}, y_{2} = \frac{- ( - 10 ) - 2 5}{2 \cdot 1}

y = \frac{- ( - 10 ) + 2 5}{2 \cdot 1} : 5 + 5

y = \frac{- ( - 10 ) - 2 5}{2 \cdot 1} : 5 - 5

The solutions to the quadratic equation are:

y = 5 + 5, y = 5 - 5

x, x^{2} + 2 x y + 3 y^{2} = 15

x, x^{2} + y^{2} + 4 y = - 4

2 x^{2} + 16 x - 12 = 0

- 17 x^{2} + 14 + 6 x = 6 x - 7 x^{2}

y, z = (1 - 2 y) (3 y + 2)

What are the solutions to the equation y^2-10y+20=0 ?
The solutions to the equation y^2-10y+20=0 are y=5+sqrt(5),y=5-sqrt(5)
Find the zeros of y^2-10y+20=0
The zeros of y^2-10y+20=0 are y=5+sqrt(5),y=5-sqrt(5)