What are the solutions to the equation xx+x+x=24 ?

The solutions to the equation xx+x+x=24 are x=4,x=-6

Find the zeros of xx+x+x=24

The zeros of xx+x+x=24 are x=4,x=-6

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xx + x + x = 24

x = 4, x = - 6

Solution steps

xx + x + x = 24

Expand

xx + x + x : x^{2} + 2 x

x^{2} + 2 x = 24

Move

24

to the left side

x^{2} + 2 x - 24 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 2 \pm 2 ^{2} - 4 \cdot 1 \cdot ( - 24 )}{2 \cdot 1}

2^{2} - 4 \cdot 1 \cdot (- 24) = 10

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

Separate the solutions

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

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

x = \frac{- 2 - 10}{2 \cdot 1} : - 6

The solutions to the quadratic equation are:

x = 4, x = - 6

3 x^{2} - 14 x - 1 = 0

24 x (x + 1) = 4 x^{2} - 7

4 x^{2} - 11 = 4 x

4 (x^{2} - 7) - 10 = - 13

28 q^{2} + 90 q = 0

What are the solutions to the equation xx+x+x=24 ?
The solutions to the equation xx+x+x=24 are x=4,x=-6
Find the zeros of xx+x+x=24
The zeros of xx+x+x=24 are x=4,x=-6