What are the solutions to the equation 13x^2-8x+15/13 =0 ?

The solutions to the equation 13x^2-8x+15/13 =0 are x= 5/13 ,x= 3/13

Find the zeros of 13x^2-8x+15/13 =0

The zeros of 13x^2-8x+15/13 =0 are x= 5/13 ,x= 3/13

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13 x^{2} - 8 x + \frac{15}{13} = 0

x = \frac{5}{13}, x = \frac{3}{13}

Decimal Notation

x = 0.38461 \dots, x = 0.23076 \dots

Solution steps

13 x^{2} - 8 x + \frac{15}{13} = 0

Multiply both sides by

13

169 x^{2} - 104 x + 15 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 104 ) \pm ( - 104 ) ^{2} - 4 \cdot 169 \cdot 15}{2 \cdot 169}

(- 104)^{2} - 4 \cdot 169 \cdot 15 = 26

x_{1, 2} = \frac{- ( - 104 ) \pm 26}{2 \cdot 169}

Separate the solutions

x_{1} = \frac{- ( - 104 ) + 26}{2 \cdot 169}, x_{2} = \frac{- ( - 104 ) - 26}{2 \cdot 169}

x = \frac{- ( - 104 ) + 26}{2 \cdot 169} : \frac{5}{13}

x = \frac{- ( - 104 ) - 26}{2 \cdot 169} : \frac{3}{13}

The solutions to the quadratic equation are:

x = \frac{5}{13}, x = \frac{3}{13}

\frac{24 28}{8 6}

45 x^{2} - 3 x - 6

- \frac{1}{9} - 13

- x = 21 - 4 x

4 x^{2} - 15 x - 4 = 0

What are the solutions to the equation 13x^2-8x+15/13 =0 ?
The solutions to the equation 13x^2-8x+15/13 =0 are x= 5/13 ,x= 3/13
Find the zeros of 13x^2-8x+15/13 =0
The zeros of 13x^2-8x+15/13 =0 are x= 5/13 ,x= 3/13