What are the solutions to the equation 5a^2-12a+3=0 ?

The solutions to the equation 5a^2-12a+3=0 are a=(6+sqrt(21))/5 ,a=(6-sqrt(21))/5

Find the zeros of 5a^2-12a+3=0

The zeros of 5a^2-12a+3=0 are a=(6+sqrt(21))/5 ,a=(6-sqrt(21))/5

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5 a^{2} - 12 a + 3 = 0

a = \frac{6 + 21}{5}, a = \frac{6 - 21}{5}

Decimal Notation

a = 2.11651 \dots, a = 0.28348 \dots

Solution steps

5 a^{2} - 12 a + 3 = 0

Solve with the quadratic formula

a_{1, 2} = \frac{- ( - 12 ) \pm ( - 12 ) ^{2} - 4 \cdot 5 \cdot 3}{2 \cdot 5}

(- 12)^{2} - 4 \cdot 5 \cdot 3 = 221

a_{1, 2} = \frac{- ( - 12 ) \pm 2 21}{2 \cdot 5}

Separate the solutions

a_{1} = \frac{- ( - 12 ) + 2 21}{2 \cdot 5}, a_{2} = \frac{- ( - 12 ) - 2 21}{2 \cdot 5}

a = \frac{- ( - 12 ) + 2 21}{2 \cdot 5} : \frac{6 + 21}{5}

a = \frac{- ( - 12 ) - 2 21}{2 \cdot 5} : \frac{6 - 21}{5}

The solutions to the quadratic equation are:

a = \frac{6 + 21}{5}, a = \frac{6 - 21}{5}

x^{2} + 6 x - 55 = 0

2 x^{2} - 7 = 11

x^{2} + 10 x + 1

x^{2} + 10 x + 5

y^{2} - 6 y = 27

What are the solutions to the equation 5a^2-12a+3=0 ?
The solutions to the equation 5a^2-12a+3=0 are a=(6+sqrt(21))/5 ,a=(6-sqrt(21))/5
Find the zeros of 5a^2-12a+3=0
The zeros of 5a^2-12a+3=0 are a=(6+sqrt(21))/5 ,a=(6-sqrt(21))/5