What are the solutions to the equation 12x^2-10x+1.5=0 ?

The solutions to the equation 12x^2-10x+1.5=0 are x=(5+sqrt(7))/(12),x=(5-sqrt(7))/(12)

Find the zeros of 12x^2-10x+1.5=0

The zeros of 12x^2-10x+1.5=0 are x=(5+sqrt(7))/(12),x=(5-sqrt(7))/(12)

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12 x^{2} - 10 x + 1.5 = 0

x = \frac{5 + 7}{12}, x = \frac{5 - 7}{12}

Decimal Notation

x = 0.63714 \dots, x = 0.19618 \dots

Solution steps

12 x^{2} - 10 x + 1.5 = 0

Multiply both sides by

10

120 x^{2} - 100 x + 15 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 100 ) \pm ( - 100 ) ^{2} - 4 \cdot 120 \cdot 15}{2 \cdot 120}

(- 100)^{2} - 4 \cdot 120 \cdot 15 = 207

x_{1, 2} = \frac{- ( - 100 ) \pm 20 7}{2 \cdot 120}

Separate the solutions

x_{1} = \frac{- ( - 100 ) + 20 7}{2 \cdot 120}, x_{2} = \frac{- ( - 100 ) - 20 7}{2 \cdot 120}

x = \frac{- ( - 100 ) + 20 7}{2 \cdot 120} : \frac{5 + 7}{12}

x = \frac{- ( - 100 ) - 20 7}{2 \cdot 120} : \frac{5 - 7}{12}

The solutions to the quadratic equation are:

x = \frac{5 + 7}{12}, x = \frac{5 - 7}{12}

(5 - 2 x)^{2} + 2 (5 - 2 x) = 3 x - 3

x^{2} - 36 x + 240 = 0

x^{2} + 70 x - 600 = 0

x, 6 x^{2} - 2 x y + 5 y^{2} = 4

2 (x + 8)^{2} = 36

What are the solutions to the equation 12x^2-10x+1.5=0 ?
The solutions to the equation 12x^2-10x+1.5=0 are x=(5+sqrt(7))/(12),x=(5-sqrt(7))/(12)
Find the zeros of 12x^2-10x+1.5=0
The zeros of 12x^2-10x+1.5=0 are x=(5+sqrt(7))/(12),x=(5-sqrt(7))/(12)