What are the solutions to the equation 2a^2-3a+1/4 =0 ?

The solutions to the equation 2a^2-3a+1/4 =0 are a=(3+sqrt(7))/4 ,a=(3-sqrt(7))/4

Find the zeros of 2a^2-3a+1/4 =0

The zeros of 2a^2-3a+1/4 =0 are a=(3+sqrt(7))/4 ,a=(3-sqrt(7))/4

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2 a^{2} - 3 a + \frac{1}{4} = 0

a = \frac{3 + 7}{4}, a = \frac{3 - 7}{4}

Decimal Notation

a = 1.41143 \dots, a = 0.08856 \dots

Solution steps

2 a^{2} - 3 a + \frac{1}{4} = 0

Multiply both sides by

4

8 a^{2} - 12 a + 1 = 0

Solve with the quadratic formula

a_{1, 2} = \frac{- ( - 12 ) \pm ( - 12 ) ^{2} - 4 \cdot 8 \cdot 1}{2 \cdot 8}

(- 12)^{2} - 4 \cdot 8 \cdot 1 = 47

a_{1, 2} = \frac{- ( - 12 ) \pm 4 7}{2 \cdot 8}

Separate the solutions

a_{1} = \frac{- ( - 12 ) + 4 7}{2 \cdot 8}, a_{2} = \frac{- ( - 12 ) - 4 7}{2 \cdot 8}

a = \frac{- ( - 12 ) + 4 7}{2 \cdot 8} : \frac{3 + 7}{4}

a = \frac{- ( - 12 ) - 4 7}{2 \cdot 8} : \frac{3 - 7}{4}

The solutions to the quadratic equation are:

a = \frac{3 + 7}{4}, a = \frac{3 - 7}{4}

45 - 19 x + 2 x^{2} = 0

x^{2} + a^{2} - 2 x - 6 a = 6 x - 2 a

2 x^{2} + 4 x = - 3 x^{2} + x - 5

m^{2} = 4 m

- 3 x^{2} - 1200 x + 12488 = 0

What are the solutions to the equation 2a^2-3a+1/4 =0 ?
The solutions to the equation 2a^2-3a+1/4 =0 are a=(3+sqrt(7))/4 ,a=(3-sqrt(7))/4
Find the zeros of 2a^2-3a+1/4 =0
The zeros of 2a^2-3a+1/4 =0 are a=(3+sqrt(7))/4 ,a=(3-sqrt(7))/4