What are the solutions to the equation 3a^2-8a+4=0 ?

The solutions to the equation 3a^2-8a+4=0 are a=2,a= 2/3

Find the zeros of 3a^2-8a+4=0

The zeros of 3a^2-8a+4=0 are a=2,a= 2/3

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

a = 2, a = \frac{2}{3}

Decimal Notation

a = 2, a = 0.66666 \dots

Solution steps

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

Solve with the quadratic formula

a_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 3 \cdot 4}{2 \cdot 3}

(- 8)^{2} - 4 \cdot 3 \cdot 4 = 4

a_{1, 2} = \frac{- ( - 8 ) \pm 4}{2 \cdot 3}

Separate the solutions

a_{1} = \frac{- ( - 8 ) + 4}{2 \cdot 3}, a_{2} = \frac{- ( - 8 ) - 4}{2 \cdot 3}

a = \frac{- ( - 8 ) + 4}{2 \cdot 3} : 2

a = \frac{- ( - 8 ) - 4}{2 \cdot 3} : \frac{2}{3}

The solutions to the quadratic equation are:

a = 2, a = \frac{2}{3}

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

x, f (x + 1) = 2 x^{2} + x - 1

63 (p^{2} - 1) = 32 p

- 5 x^{2} - 67 x - 100 = - 7 x

x^{2} + 3 x + 6

What are the solutions to the equation 3a^2-8a+4=0 ?
The solutions to the equation 3a^2-8a+4=0 are a=2,a= 2/3
Find the zeros of 3a^2-8a+4=0
The zeros of 3a^2-8a+4=0 are a=2,a= 2/3