What are the solutions to the equation x(x-10)=-21 ?

The solutions to the equation x(x-10)=-21 are x=7,x=3

Find the zeros of x(x-10)=-21

The zeros of x(x-10)=-21 are x=7,x=3

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x (x - 10) = - 21

x = 7, x = 3

Solution steps

x (x - 10) = - 21

Expand

x (x - 10) : x^{2} - 10 x

x^{2} - 10 x = - 21

Move

21

to the left side

x^{2} - 10 x + 21 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 1 \cdot 21}{2 \cdot 1}

(- 10)^{2} - 4 \cdot 1 \cdot 21 = 4

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

Separate the solutions

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

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

x = \frac{- ( - 10 ) - 4}{2 \cdot 1} : 3

The solutions to the quadratic equation are:

x = 7, x = 3

4 x^{2} + 4 x - 5 = 0

- 3 x^{2} - 6 = 0

r^{2} - 4 r = 0

- x^{2} - 2 x + 3

5 - 6 x - x^{2}

What are the solutions to the equation x(x-10)=-21 ?
The solutions to the equation x(x-10)=-21 are x=7,x=3
Find the zeros of x(x-10)=-21
The zeros of x(x-10)=-21 are x=7,x=3