What are the solutions to the equation 2a^2-8a+5=0 ?

The solutions to the equation 2a^2-8a+5=0 are a=(4+sqrt(6))/2 ,a=(4-sqrt(6))/2

Find the zeros of 2a^2-8a+5=0

The zeros of 2a^2-8a+5=0 are a=(4+sqrt(6))/2 ,a=(4-sqrt(6))/2

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

a = \frac{4 + 6}{2}, a = \frac{4 - 6}{2}

Decimal Notation

a = 3.22474 \dots, a = 0.77525 \dots

Solution steps

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

Solve with the quadratic formula

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

(- 8)^{2} - 4 \cdot 2 \cdot 5 = 26

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

Separate the solutions

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

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

a = \frac{- ( - 8 ) - 2 6}{2 \cdot 2} : \frac{4 - 6}{2}

The solutions to the quadratic equation are:

a = \frac{4 + 6}{2}, a = \frac{4 - 6}{2}

x^{2} + 7 x + 10 = 0

x^{2} - 20 x + 200 = 0

x^{2} + 8 x - 1 = 0

x^{2} + 17 x + 12 = 0

\frac{x ^{2}}{4} + \frac{3 x}{2} = 6

What are the solutions to the equation 2a^2-8a+5=0 ?
The solutions to the equation 2a^2-8a+5=0 are a=(4+sqrt(6))/2 ,a=(4-sqrt(6))/2
Find the zeros of 2a^2-8a+5=0
The zeros of 2a^2-8a+5=0 are a=(4+sqrt(6))/2 ,a=(4-sqrt(6))/2