What are the solutions to the equation a(4a+5)-8=0 ?

The solutions to the equation a(4a+5)-8=0 are a=(-5+3sqrt(17))/8 ,a=(-5-3sqrt(17))/8

Find the zeros of a(4a+5)-8=0

The zeros of a(4a+5)-8=0 are a=(-5+3sqrt(17))/8 ,a=(-5-3sqrt(17))/8

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a (4 a + 5) - 8 = 0

a = \frac{- 5 + 3 17}{8}, a = \frac{- 5 - 3 17}{8}

Solution steps

a (4 a + 5) - 8 = 0

Expand

a (4 a + 5) - 8 : 4 a^{2} + 5 a - 8

4 a^{2} + 5 a - 8 = 0

Solve with the quadratic formula

a_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 \cdot 4 ( - 8 )}{2 \cdot 4}

5^{2} - 4 \cdot 4 (- 8) = 317

a_{1, 2} = \frac{- 5 \pm 3 17}{2 \cdot 4}

Separate the solutions

a_{1} = \frac{- 5 + 3 17}{2 \cdot 4}, a_{2} = \frac{- 5 - 3 17}{2 \cdot 4}

a = \frac{- 5 + 3 17}{2 \cdot 4} : \frac{- 5 + 3 17}{8}

a = \frac{- 5 - 3 17}{2 \cdot 4} : \frac{- 5 - 3 17}{8}

The solutions to the quadratic equation are:

a = \frac{- 5 + 3 17}{8}, a = \frac{- 5 - 3 17}{8}

\frac{1}{3} (3 j + 6)

- 5 \leq 2 x + 1 < 7

x^{2} - 8 x + 16 \leq 0

17 x + 10 > 10 - 20 x > - 16 x - 14

What are the solutions to the equation a(4a+5)-8=0 ?
The solutions to the equation a(4a+5)-8=0 are a=(-5+3sqrt(17))/8 ,a=(-5-3sqrt(17))/8
Find the zeros of a(4a+5)-8=0
The zeros of a(4a+5)-8=0 are a=(-5+3sqrt(17))/8 ,a=(-5-3sqrt(17))/8