What are the solutions to the equation x(x+21)=100 ?

The solutions to the equation x(x+21)=100 are x=4,x=-25

Find the zeros of x(x+21)=100

The zeros of x(x+21)=100 are x=4,x=-25

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x (x + 21) = 100

x = 4, x = - 25

Solution steps

x (x + 21) = 100

Expand

x (x + 21) : x^{2} + 21 x

x^{2} + 21 x = 100

Move

100

to the left side

x^{2} + 21 x - 100 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 21 \pm 2 1 ^{2} - 4 \cdot 1 \cdot ( - 100 )}{2 \cdot 1}

2 1^{2} - 4 \cdot 1 \cdot (- 100) = 29

x_{1, 2} = \frac{- 21 \pm 29}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 21 + 29}{2 \cdot 1}, x_{2} = \frac{- 21 - 29}{2 \cdot 1}

x = \frac{- 21 + 29}{2 \cdot 1} : 4

x = \frac{- 21 - 29}{2 \cdot 1} : - 25

The solutions to the quadratic equation are:

x = 4, x = - 25

- 7 (x + 5) = x^{2} + (5 - a) x - 5 a

y, (3 x - y)^{2} + (x - 5)^{2} = 0

4 x^{2} + 12 x = - 3

2 x^{2} = 8

x^{2} + 4 x + 14 = 46

What are the solutions to the equation x(x+21)=100 ?
The solutions to the equation x(x+21)=100 are x=4,x=-25
Find the zeros of x(x+21)=100
The zeros of x(x+21)=100 are x=4,x=-25