What are the solutions to the equation x^2+8x+16= 16/9 ?

The solutions to the equation x^2+8x+16= 16/9 are x=-8/3 ,x=-16/3

Find the zeros of x^2+8x+16= 16/9

The zeros of x^2+8x+16= 16/9 are x=-8/3 ,x=-16/3

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x^{2} + 8 x + 16 = \frac{16}{9}

x = - \frac{8}{3}, x = - \frac{16}{3}

Decimal Notation

x = - 2.66666 \dots, x = - 5.33333 \dots

Solution steps

x^{2} + 8 x + 16 = \frac{16}{9}

Multiply both sides by

9

9 x^{2} + 72 x + 144 = 16

Move

16

to the left side

9 x^{2} + 72 x + 128 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 72 \pm 7 2 ^{2} - 4 \cdot 9 \cdot 128}{2 \cdot 9}

7 2^{2} - 4 \cdot 9 \cdot 128 = 24

x_{1, 2} = \frac{- 72 \pm 24}{2 \cdot 9}

Separate the solutions

x_{1} = \frac{- 72 + 24}{2 \cdot 9}, x_{2} = \frac{- 72 - 24}{2 \cdot 9}

x = \frac{- 72 + 24}{2 \cdot 9} : - \frac{8}{3}

x = \frac{- 72 - 24}{2 \cdot 9} : - \frac{16}{3}

The solutions to the quadratic equation are:

x = - \frac{8}{3}, x = - \frac{16}{3}

20 x^{2} - 9 x = 20

5 n^{2} - 20 n + 6 = 0

x, x^{2} - y^{3} = 0

s^{2} + 8 s + 20 = 0

2500 = - 0.5 x^{2} + 40 x - 300

What are the solutions to the equation x^2+8x+16= 16/9 ?
The solutions to the equation x^2+8x+16= 16/9 are x=-8/3 ,x=-16/3
Find the zeros of x^2+8x+16= 16/9
The zeros of x^2+8x+16= 16/9 are x=-8/3 ,x=-16/3