What are the solutions to the equation y^2-6y-15=0 ?

The solutions to the equation y^2-6y-15=0 are y=3+2sqrt(6),y=3-2sqrt(6)

Find the zeros of y^2-6y-15=0

The zeros of y^2-6y-15=0 are y=3+2sqrt(6),y=3-2sqrt(6)

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y^{2} - 6 y - 15 = 0

y = 3 + 26, y = 3 - 26

Decimal Notation

y = 7.89897 \dots, y = - 1.89897 \dots

Solution steps

y^{2} - 6 y - 15 = 0

Solve with the quadratic formula

y_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 1 \cdot ( - 15 )}{2 \cdot 1}

(- 6)^{2} - 4 \cdot 1 \cdot (- 15) = 46

y_{1, 2} = \frac{- ( - 6 ) \pm 4 6}{2 \cdot 1}

Separate the solutions

y_{1} = \frac{- ( - 6 ) + 4 6}{2 \cdot 1}, y_{2} = \frac{- ( - 6 ) - 4 6}{2 \cdot 1}

y = \frac{- ( - 6 ) + 4 6}{2 \cdot 1} : 3 + 26

y = \frac{- ( - 6 ) - 4 6}{2 \cdot 1} : 3 - 26

The solutions to the quadratic equation are:

y = 3 + 26, y = 3 - 26

3 x^{2} - 42 x = - 120

x^{2} - 2 x - 19 = 0

x^{2} + x^{2} = 4

2 x^{2} - x - 3 = 0

c, a^{2} = b^{2} + c^{2}

What are the solutions to the equation y^2-6y-15=0 ?
The solutions to the equation y^2-6y-15=0 are y=3+2sqrt(6),y=3-2sqrt(6)
Find the zeros of y^2-6y-15=0
The zeros of y^2-6y-15=0 are y=3+2sqrt(6),y=3-2sqrt(6)