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Popular >

y^2-y-6=0

Solution

y^{2} - y - 6 = 0

Solution

y = 3, y = - 2

Solution steps

y^{2} - y - 6 = 0

Solve with the quadratic formula

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

(- 1)^{2} - 4 \cdot 1 \cdot (- 6) = 5

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

Separate the solutions

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

y = \frac{- ( - 1 ) + 5}{2 \cdot 1} : 3

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

The solutions to the quadratic equation are:

y = 3, y = - 2

Popular Examples

-1/2 x<=-9/4+2/5 x

- \frac{1}{2} x \leq - \frac{9}{4} + \frac{2}{5} x

-9<= (1-2x)/9 <20

- 9 \leq \frac{1 - 2 x}{9} < 20

\frac{x}{3} - 1 = \frac{x}{5} + 5

factor 4x^{3/2}-12x^{1/2}+8x^{-1/2}factor

4 x^{\frac{3}{2}} - 12 x^{\frac{1}{2}} + 8 x^{- \frac{1}{2}}

simplify (5+3i)(5-3i)simplify

(5 + 3 i) (5 - 3 i)

Frequently Asked Questions (FAQ)

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