What are the solutions to the equation x^2+8/3 x+16/9 =0 ?

The solutions to the equation x^2+8/3 x+16/9 =0 are x=-4/3

Find the zeros of x^2+8/3 x+16/9 =0

The zeros of x^2+8/3 x+16/9 =0 are x=-4/3

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x^{2} + \frac{8}{3} x + \frac{16}{9} = 0

x = - \frac{4}{3}

Decimal Notation

x = - 1.33333 \dots

Solution steps

x^{2} + \frac{8}{3} x + \frac{16}{9} = 0

Find Least Common Multiplier of

3, 9 : 9

Multiply by LCM=

9

x^{2} \cdot 9 + \frac{8}{3} x \cdot 9 + \frac{16}{9} \cdot 9 = 0 \cdot 9

Simplify

9 x^{2} + 24 x + 16 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 24 \pm 2 4 ^{2} - 4 \cdot 9 \cdot 16}{2 \cdot 9}

2 4^{2} - 4 \cdot 9 \cdot 16 = 0

x_{1, 2} = \frac{- 24 \pm 0}{2 \cdot 9}

x = \frac{- 24}{2 \cdot 9}

\frac{- 24}{2 \cdot 9} = - \frac{4}{3}

x = - \frac{4}{3}

The solution to the quadratic equation is:

x = - \frac{4}{3}

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

x^{2} - 10 x + 21

(- \frac{8}{3})^{2} + y^{2} = 1^{2}

x^{2} + 3 x + 21 = 22

a, (a + b + c)^{2} = 225

What are the solutions to the equation x^2+8/3 x+16/9 =0 ?
The solutions to the equation x^2+8/3 x+16/9 =0 are x=-4/3
Find the zeros of x^2+8/3 x+16/9 =0
The zeros of x^2+8/3 x+16/9 =0 are x=-4/3