What are the solutions to the equation 5a^2+6a-147=-3 ?

The solutions to the equation 5a^2+6a-147=-3 are a= 24/5 ,a=-6

Find the zeros of 5a^2+6a-147=-3

The zeros of 5a^2+6a-147=-3 are a= 24/5 ,a=-6

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5 a^{2} + 6 a - 147 = - 3

a = \frac{24}{5}, a = - 6

Decimal Notation

a = 4.8, a = - 6

Solution steps

5 a^{2} + 6 a - 147 = - 3

Move

3

to the left side

5 a^{2} + 6 a - 144 = 0

Solve with the quadratic formula

a_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 \cdot 5 ( - 144 )}{2 \cdot 5}

6^{2} - 4 \cdot 5 (- 144) = 54

a_{1, 2} = \frac{- 6 \pm 54}{2 \cdot 5}

Separate the solutions

a_{1} = \frac{- 6 + 54}{2 \cdot 5}, a_{2} = \frac{- 6 - 54}{2 \cdot 5}

a = \frac{- 6 + 54}{2 \cdot 5} : \frac{24}{5}

a = \frac{- 6 - 54}{2 \cdot 5} : - 6

The solutions to the quadratic equation are:

a = \frac{24}{5}, a = - 6

x^{2} = 4^{2} + 2^{2}

6 x^{2} + x - 3 = 0

8 x^{2} - 5 x + 3 = 0

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

- 5 x^{2} + 12 x + 7 = 0

What are the solutions to the equation 5a^2+6a-147=-3 ?
The solutions to the equation 5a^2+6a-147=-3 are a= 24/5 ,a=-6
Find the zeros of 5a^2+6a-147=-3
The zeros of 5a^2+6a-147=-3 are a= 24/5 ,a=-6