What are the solutions to the equation x+x^2-100=17x+5 ?

The solutions to the equation x+x^2-100=17x+5 are x=21,x=-5

Find the zeros of x+x^2-100=17x+5

The zeros of x+x^2-100=17x+5 are x=21,x=-5

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x + x^{2} - 100 = 17 x + 5

x = 21, x = - 5

Solution steps

x + x^{2} - 100 = 17 x + 5

Move

5

to the left side

x^{2} + x - 105 = 17 x

Move

17 x

to the left side

x^{2} - 16 x - 105 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 16 ) \pm ( - 16 ) ^{2} - 4 \cdot 1 \cdot ( - 105 )}{2 \cdot 1}

(- 16)^{2} - 4 \cdot 1 \cdot (- 105) = 26

x_{1, 2} = \frac{- ( - 16 ) \pm 26}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 16 ) + 26}{2 \cdot 1}, x_{2} = \frac{- ( - 16 ) - 26}{2 \cdot 1}

x = \frac{- ( - 16 ) + 26}{2 \cdot 1} : 21

x = \frac{- ( - 16 ) - 26}{2 \cdot 1} : - 5

The solutions to the quadratic equation are:

x = 21, x = - 5

1 2^{2} = x (x + 7)

(x - 8)^{2} + 9 = 25

16 a^{3} (3 x^{2} - 4 a^{2}) = 0

3 (x + 2)^{2} - 4 = 11

x (2 x - 4) - 100 = 4 (6 - x) - 17

What are the solutions to the equation x+x^2-100=17x+5 ?
The solutions to the equation x+x^2-100=17x+5 are x=21,x=-5
Find the zeros of x+x^2-100=17x+5
The zeros of x+x^2-100=17x+5 are x=21,x=-5