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

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

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

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

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x (x - 7) = 44

x = 11, x = - 4

Solution steps

x (x - 7) = 44

Expand

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

x^{2} - 7 x = 44

Move

44

to the left side

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

Solve with the quadratic formula

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

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

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

x = 11, x = - 4

x^{2} - x - 18 = - 4 x - 4 x

16 x^{2} - 4 x + 3 = 0

2 x^{2} + x - 1 = 0

y^{2} + 2 y = 3

x^{2} + 5 x + 6 = 0

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