What are the solutions to the equation x^2+2/4-x-3/6 x=5 ?

The solutions to the equation x^2+2/4-x-3/6 x=5 are x=3,x=-3/2

Find the zeros of x^2+2/4-x-3/6 x=5

The zeros of x^2+2/4-x-3/6 x=5 are x=3,x=-3/2

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x^{2} + \frac{2}{4} - x - \frac{3}{6} x = 5

x = 3, x = - \frac{3}{2}

Decimal Notation

x = 3, x = - 1.5

Solution steps

x^{2} + \frac{2}{4} - x - \frac{3}{6} x = 5

Find Least Common Multiplier of

4, 6 : 12

Multiply by LCM=

12

x^{2} \cdot 12 + \frac{2}{4} \cdot 12 - x \cdot 12 - \frac{3}{6} x \cdot 12 = 5 \cdot 12

Simplify

12 x^{2} + 6 - 12 x - 6 x = 60

12 x^{2} + 6 - 18 x = 60

Move

60

to the left side

12 x^{2} - 18 x - 54 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 18 ) \pm ( - 18 ) ^{2} - 4 \cdot 12 ( - 54 )}{2 \cdot 12}

(- 18)^{2} - 4 \cdot 12 (- 54) = 54

x_{1, 2} = \frac{- ( - 18 ) \pm 54}{2 \cdot 12}

Separate the solutions

x_{1} = \frac{- ( - 18 ) + 54}{2 \cdot 12}, x_{2} = \frac{- ( - 18 ) - 54}{2 \cdot 12}

x = \frac{- ( - 18 ) + 54}{2 \cdot 12} : 3

x = \frac{- ( - 18 ) - 54}{2 \cdot 12} : - \frac{3}{2}

The solutions to the quadratic equation are:

x = 3, x = - \frac{3}{2}

x, s = vx + \frac{1}{2} a x^{2}

- 8 x^{2} + 40 = 0

x^{2} + 36 x + c

x^{2} + 49

4 x^{2} + 6 x = 12

What are the solutions to the equation x^2+2/4-x-3/6 x=5 ?
The solutions to the equation x^2+2/4-x-3/6 x=5 are x=3,x=-3/2
Find the zeros of x^2+2/4-x-3/6 x=5
The zeros of x^2+2/4-x-3/6 x=5 are x=3,x=-3/2