What are the solutions to the equation y^2-10y+8=0 ?

The solutions to the equation y^2-10y+8=0 are y=5+sqrt(17),y=5-sqrt(17)

Find the zeros of y^2-10y+8=0

The zeros of y^2-10y+8=0 are y=5+sqrt(17),y=5-sqrt(17)

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y^{2} - 10 y + 8 = 0

y = 5 + 17, y = 5 - 17

Decimal Notation

y = 9.12310 \dots, y = 0.87689 \dots

Solution steps

y^{2} - 10 y + 8 = 0

Solve with the quadratic formula

y_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 1 \cdot 8}{2 \cdot 1}

(- 10)^{2} - 4 \cdot 1 \cdot 8 = 217

y_{1, 2} = \frac{- ( - 10 ) \pm 2 17}{2 \cdot 1}

Separate the solutions

y_{1} = \frac{- ( - 10 ) + 2 17}{2 \cdot 1}, y_{2} = \frac{- ( - 10 ) - 2 17}{2 \cdot 1}

y = \frac{- ( - 10 ) + 2 17}{2 \cdot 1} : 5 + 17

y = \frac{- ( - 10 ) - 2 17}{2 \cdot 1} : 5 - 17

The solutions to the quadratic equation are:

y = 5 + 17, y = 5 - 17

7 x^{2} + 4 x + 15 = 0

4 z^{2} - b z - 1 = 0

(\frac{( 6 - x )}{2})^{2} - x^{2} = \frac{3 ( x - 2 )}{2}

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

x (x + 3) = 2 (7 - x) + 10

What are the solutions to the equation y^2-10y+8=0 ?
The solutions to the equation y^2-10y+8=0 are y=5+sqrt(17),y=5-sqrt(17)
Find the zeros of y^2-10y+8=0
The zeros of y^2-10y+8=0 are y=5+sqrt(17),y=5-sqrt(17)