What are the solutions to the equation y^2-10y-3=0 ?

The solutions to the equation y^2-10y-3=0 are y=5+2sqrt(7),y=5-2sqrt(7)

Find the zeros of y^2-10y-3=0

The zeros of y^2-10y-3=0 are y=5+2sqrt(7),y=5-2sqrt(7)

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y^{2} - 10 y - 3 = 0

y = 5 + 27, y = 5 - 27

Decimal Notation

y = 10.29150 \dots, y = - 0.29150 \dots

Solution steps

y^{2} - 10 y - 3 = 0

Solve with the quadratic formula

y_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 1 \cdot ( - 3 )}{2 \cdot 1}

(- 10)^{2} - 4 \cdot 1 \cdot (- 3) = 47

y_{1, 2} = \frac{- ( - 10 ) \pm 4 7}{2 \cdot 1}

Separate the solutions

y_{1} = \frac{- ( - 10 ) + 4 7}{2 \cdot 1}, y_{2} = \frac{- ( - 10 ) - 4 7}{2 \cdot 1}

y = \frac{- ( - 10 ) + 4 7}{2 \cdot 1} : 5 + 27

y = \frac{- ( - 10 ) - 4 7}{2 \cdot 1} : 5 - 27

The solutions to the quadratic equation are:

y = 5 + 27, y = 5 - 27

(x + 2) (x + 7) \leq 0

x^{2} - 2 x - 4 = 0

x^{2} - 13 x + 22

\frac{x}{3} = - 7

\frac{1 - x}{4} < \frac{2 x - 2}{5}

What are the solutions to the equation y^2-10y-3=0 ?
The solutions to the equation y^2-10y-3=0 are y=5+2sqrt(7),y=5-2sqrt(7)
Find the zeros of y^2-10y-3=0
The zeros of y^2-10y-3=0 are y=5+2sqrt(7),y=5-2sqrt(7)