What are the solutions to the equation 5a^2-15a+11=0 ?

The solutions to the equation 5a^2-15a+11=0 are a=(15+sqrt(5))/(10),a=(15-sqrt(5))/(10)

Find the zeros of 5a^2-15a+11=0

The zeros of 5a^2-15a+11=0 are a=(15+sqrt(5))/(10),a=(15-sqrt(5))/(10)

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5 a^{2} - 15 a + 11 = 0

a = \frac{15 + 5}{10}, a = \frac{15 - 5}{10}

Decimal Notation

a = 1.72360 \dots, a = 1.27639 \dots

Solution steps

5 a^{2} - 15 a + 11 = 0

Solve with the quadratic formula

a_{1, 2} = \frac{- ( - 15 ) \pm ( - 15 ) ^{2} - 4 \cdot 5 \cdot 11}{2 \cdot 5}

(- 15)^{2} - 4 \cdot 5 \cdot 11 = 5

a_{1, 2} = \frac{- ( - 15 ) \pm 5}{2 \cdot 5}

Separate the solutions

a_{1} = \frac{- ( - 15 ) + 5}{2 \cdot 5}, a_{2} = \frac{- ( - 15 ) - 5}{2 \cdot 5}

a = \frac{- ( - 15 ) + 5}{2 \cdot 5} : \frac{15 + 5}{10}

a = \frac{- ( - 15 ) - 5}{2 \cdot 5} : \frac{15 - 5}{10}

The solutions to the quadratic equation are:

a = \frac{15 + 5}{10}, a = \frac{15 - 5}{10}

3 x^{2} - 5 = 20 - x^{2}

\frac{y ^{2}}{2} - 3 y = 8

2 p^{2} + 13 p + 17 = 0

x^{2} + 16 x = - 59

3 (4 b^{2} - 7) = - 2 b - 8

What are the solutions to the equation 5a^2-15a+11=0 ?
The solutions to the equation 5a^2-15a+11=0 are a=(15+sqrt(5))/(10),a=(15-sqrt(5))/(10)
Find the zeros of 5a^2-15a+11=0
The zeros of 5a^2-15a+11=0 are a=(15+sqrt(5))/(10),a=(15-sqrt(5))/(10)