What are the solutions to the equation 4a^2-18a+5=15 ?

The solutions to the equation 4a^2-18a+5=15 are a=5,a=-1/2

Find the zeros of 4a^2-18a+5=15

The zeros of 4a^2-18a+5=15 are a=5,a=-1/2

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4 a^{2} - 18 a + 5 = 15

a = 5, a = - \frac{1}{2}

Decimal Notation

a = 5, a = - 0.5

Solution steps

4 a^{2} - 18 a + 5 = 15

Move

15

to the left side

4 a^{2} - 18 a - 10 = 0

Solve with the quadratic formula

a_{1, 2} = \frac{- ( - 18 ) \pm ( - 18 ) ^{2} - 4 \cdot 4 ( - 10 )}{2 \cdot 4}

(- 18)^{2} - 4 \cdot 4 (- 10) = 22

a_{1, 2} = \frac{- ( - 18 ) \pm 22}{2 \cdot 4}

Separate the solutions

a_{1} = \frac{- ( - 18 ) + 22}{2 \cdot 4}, a_{2} = \frac{- ( - 18 ) - 22}{2 \cdot 4}

a = \frac{- ( - 18 ) + 22}{2 \cdot 4} : 5

a = \frac{- ( - 18 ) - 22}{2 \cdot 4} : - \frac{1}{2}

The solutions to the quadratic equation are:

a = 5, a = - \frac{1}{2}

12 q^{2} + 34 q - 28

9 + x = 3 - 5 x

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

- 4 x = 16

3 x^{2} + 14 = 12

What are the solutions to the equation 4a^2-18a+5=15 ?
The solutions to the equation 4a^2-18a+5=15 are a=5,a=-1/2
Find the zeros of 4a^2-18a+5=15
The zeros of 4a^2-18a+5=15 are a=5,a=-1/2