What are the solutions to the equation 6a^2+8a-9=0 ?

The solutions to the equation 6a^2+8a-9=0 are a=(-4+sqrt(70))/6 ,a=-(4+sqrt(70))/6

Find the zeros of 6a^2+8a-9=0

The zeros of 6a^2+8a-9=0 are a=(-4+sqrt(70))/6 ,a=-(4+sqrt(70))/6

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6 a^{2} + 8 a - 9 = 0

a = \frac{- 4 + 70}{6}, a = - \frac{4 + 70}{6}

Decimal Notation

a = 0.72776 \dots, a = - 2.06110 \dots

Solution steps

6 a^{2} + 8 a - 9 = 0

Solve with the quadratic formula

a_{1, 2} = \frac{- 8 \pm 8 ^{2} - 4 \cdot 6 ( - 9 )}{2 \cdot 6}

8^{2} - 4 \cdot 6 (- 9) = 270

a_{1, 2} = \frac{- 8 \pm 2 70}{2 \cdot 6}

Separate the solutions

a_{1} = \frac{- 8 + 2 70}{2 \cdot 6}, a_{2} = \frac{- 8 - 2 70}{2 \cdot 6}

a = \frac{- 8 + 2 70}{2 \cdot 6} : \frac{- 4 + 70}{6}

a = \frac{- 8 - 2 70}{2 \cdot 6} : - \frac{4 + 70}{6}

The solutions to the quadratic equation are:

a = \frac{- 4 + 70}{6}, a = - \frac{4 + 70}{6}

x^{2} + 5 x - 32 = 0

x^{2} - 9 x + 13 = 2 x + 3

5 x^{2} - 21 x - 5 = - 7 x - 2

5 x^{2} + 9 x - 6 = 10 x

x, x^{2} - 49 = 0

What are the solutions to the equation 6a^2+8a-9=0 ?
The solutions to the equation 6a^2+8a-9=0 are a=(-4+sqrt(70))/6 ,a=-(4+sqrt(70))/6
Find the zeros of 6a^2+8a-9=0
The zeros of 6a^2+8a-9=0 are a=(-4+sqrt(70))/6 ,a=-(4+sqrt(70))/6