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

The solutions to the equation a^2-5a+3=0 are a=(5+sqrt(13))/2 ,a=(5-sqrt(13))/2

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

The zeros of a^2-5a+3=0 are a=(5+sqrt(13))/2 ,a=(5-sqrt(13))/2

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

a = \frac{5 + 13}{2}, a = \frac{5 - 13}{2}

Decimal Notation

a = 4.30277 \dots, a = 0.69722 \dots

Solution steps

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

Solve with the quadratic formula

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

(- 5)^{2} - 4 \cdot 1 \cdot 3 = 13

a_{1, 2} = \frac{- ( - 5 ) \pm 13}{2 \cdot 1}

Separate the solutions

a_{1} = \frac{- ( - 5 ) + 13}{2 \cdot 1}, a_{2} = \frac{- ( - 5 ) - 13}{2 \cdot 1}

a = \frac{- ( - 5 ) + 13}{2 \cdot 1} : \frac{5 + 13}{2}

a = \frac{- ( - 5 ) - 13}{2 \cdot 1} : \frac{5 - 13}{2}

The solutions to the quadratic equation are:

a = \frac{5 + 13}{2}, a = \frac{5 - 13}{2}

7 d^{2} + 5 = 0

3 c^{2} - 10 c = 8

- 16 x^{2} + 32 x + 8 = 0

\frac{1}{4} x^{2} + 16 = 0

36 x^{2} - 21 x = 2

What are the solutions to the equation a^2-5a+3=0 ?
The solutions to the equation a^2-5a+3=0 are a=(5+sqrt(13))/2 ,a=(5-sqrt(13))/2
Find the zeros of a^2-5a+3=0
The zeros of a^2-5a+3=0 are a=(5+sqrt(13))/2 ,a=(5-sqrt(13))/2