What are the solutions to the equation y(y-7)=44 ?

The solutions to the equation y(y-7)=44 are y=11,y=-4

Find the zeros of y(y-7)=44

The zeros of y(y-7)=44 are y=11,y=-4

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y (y - 7) = 44

y = 11, y = - 4

Solution steps

y (y - 7) = 44

Expand

y (y - 7) : y^{2} - 7 y

y^{2} - 7 y = 44

Move

44

to the left side

y^{2} - 7 y - 44 = 0

Solve with the quadratic formula

y_{1, 2} = \frac{- ( - 7 ) \pm ( - 7 ) ^{2} - 4 \cdot 1 \cdot ( - 44 )}{2 \cdot 1}

(- 7)^{2} - 4 \cdot 1 \cdot (- 44) = 15

y_{1, 2} = \frac{- ( - 7 ) \pm 15}{2 \cdot 1}

Separate the solutions

y_{1} = \frac{- ( - 7 ) + 15}{2 \cdot 1}, y_{2} = \frac{- ( - 7 ) - 15}{2 \cdot 1}

y = \frac{- ( - 7 ) + 15}{2 \cdot 1} : 11

y = \frac{- ( - 7 ) - 15}{2 \cdot 1} : - 4

The solutions to the quadratic equation are:

y = 11, y = - 4

x, y = - x^{2}

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

x^{2} - 10 x - 25 = 15 - 13 x

x^{2} - 24 x + 70 = - 8 x + 27

x^{2} - 12 x + 4 = 0

What are the solutions to the equation y(y-7)=44 ?
The solutions to the equation y(y-7)=44 are y=11,y=-4
Find the zeros of y(y-7)=44
The zeros of y(y-7)=44 are y=11,y=-4