What are the solutions to the equation 1.5x^2-13x+15=0 ?

The solutions to the equation 1.5x^2-13x+15=0 are x=(13+sqrt(79))/3 ,x=(13-sqrt(79))/3

Find the zeros of 1.5x^2-13x+15=0

The zeros of 1.5x^2-13x+15=0 are x=(13+sqrt(79))/3 ,x=(13-sqrt(79))/3

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1.5 x^{2} - 13 x + 15 = 0

x = \frac{13 + 79}{3}, x = \frac{13 - 79}{3}

Decimal Notation

x = 7.29606 \dots, x = 1.37060 \dots

Solution steps

1.5 x^{2} - 13 x + 15 = 0

Multiply both sides by

10

15 x^{2} - 130 x + 150 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 130 ) \pm ( - 130 ) ^{2} - 4 \cdot 15 \cdot 150}{2 \cdot 15}

(- 130)^{2} - 4 \cdot 15 \cdot 150 = 1079

x_{1, 2} = \frac{- ( - 130 ) \pm 10 79}{2 \cdot 15}

Separate the solutions

x_{1} = \frac{- ( - 130 ) + 10 79}{2 \cdot 15}, x_{2} = \frac{- ( - 130 ) - 10 79}{2 \cdot 15}

x = \frac{- ( - 130 ) + 10 79}{2 \cdot 15} : \frac{13 + 79}{3}

x = \frac{- ( - 130 ) - 10 79}{2 \cdot 15} : \frac{13 - 79}{3}

The solutions to the quadratic equation are:

x = \frac{13 + 79}{3}, x = \frac{13 - 79}{3}

10 x^{2} + 7 x - 3 = 0

5 x^{2} + 11 x = 0

- 4 x^{2} + 16 x - 208 = 0

5 x^{2} + 7 = 32

1 2^{2} = 5^{2} + x^{2}

What are the solutions to the equation 1.5x^2-13x+15=0 ?
The solutions to the equation 1.5x^2-13x+15=0 are x=(13+sqrt(79))/3 ,x=(13-sqrt(79))/3
Find the zeros of 1.5x^2-13x+15=0
The zeros of 1.5x^2-13x+15=0 are x=(13+sqrt(79))/3 ,x=(13-sqrt(79))/3