What are the solutions to the equation x(x+4)=15-6 ?

The solutions to the equation x(x+4)=15-6 are x=-2+sqrt(13),x=-2-sqrt(13)

Find the zeros of x(x+4)=15-6

The zeros of x(x+4)=15-6 are x=-2+sqrt(13),x=-2-sqrt(13)

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x (x + 4) = 15 - 6

x = - 2 + 13, x = - 2 - 13

Decimal Notation

x = 1.60555 \dots, x = - 5.60555 \dots

Solution steps

x (x + 4) = 15 - 6

Expand

x (x + 4) : x^{2} + 4 x

x^{2} + 4 x = 9

Move

9

to the left side

x^{2} + 4 x - 9 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 4 \pm 4 ^{2} - 4 \cdot 1 \cdot ( - 9 )}{2 \cdot 1}

4^{2} - 4 \cdot 1 \cdot (- 9) = 213

x_{1, 2} = \frac{- 4 \pm 2 13}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 4 + 2 13}{2 \cdot 1}, x_{2} = \frac{- 4 - 2 13}{2 \cdot 1}

x = \frac{- 4 + 2 13}{2 \cdot 1} : - 2 + 13

x = \frac{- 4 - 2 13}{2 \cdot 1} : - 2 - 13

The solutions to the quadratic equation are:

x = - 2 + 13, x = - 2 - 13

3 x^{2} + 4 x - 7 = 0

x^{2} - 4 x + 16 = 18

2 x^{2} - 17 x + 16 = 0

(- a)^{2} - 4 (1) (- 2 a) = 0

v, v^{2} = u^{2} + 2 a s

What are the solutions to the equation x(x+4)=15-6 ?
The solutions to the equation x(x+4)=15-6 are x=-2+sqrt(13),x=-2-sqrt(13)
Find the zeros of x(x+4)=15-6
The zeros of x(x+4)=15-6 are x=-2+sqrt(13),x=-2-sqrt(13)