What are the solutions to the equation X^2-7/6 X+1/3 =0 ?

The solutions to the equation X^2-7/6 X+1/3 =0 are X= 2/3 ,X= 1/2

Find the zeros of X^2-7/6 X+1/3 =0

The zeros of X^2-7/6 X+1/3 =0 are X= 2/3 ,X= 1/2

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X^{2} - \frac{7}{6} X + \frac{1}{3} = 0

X = \frac{2}{3}, X = \frac{1}{2}

Decimal Notation

X = 0.66666 \dots, X = 0.5

Solution steps

X^{2} - \frac{7}{6} X + \frac{1}{3} = 0

Find Least Common Multiplier of

6, 3 : 6

Multiply by LCM=

6

X^{2} \cdot 6 - \frac{7}{6} X \cdot 6 + \frac{1}{3} \cdot 6 = 0 \cdot 6

Simplify

6 X^{2} - 7 X + 2 = 0

Solve with the quadratic formula

X_{1, 2} = \frac{- ( - 7 ) \pm ( - 7 ) ^{2} - 4 \cdot 6 \cdot 2}{2 \cdot 6}

(- 7)^{2} - 4 \cdot 6 \cdot 2 = 1

X_{1, 2} = \frac{- ( - 7 ) \pm 1}{2 \cdot 6}

Separate the solutions

X_{1} = \frac{- ( - 7 ) + 1}{2 \cdot 6}, X_{2} = \frac{- ( - 7 ) - 1}{2 \cdot 6}

X = \frac{- ( - 7 ) + 1}{2 \cdot 6} : \frac{2}{3}

X = \frac{- ( - 7 ) - 1}{2 \cdot 6} : \frac{1}{2}

The solutions to the quadratic equation are:

X = \frac{2}{3}, X = \frac{1}{2}

6 w^{2} - 11 w + 5 = 0

2 x^{2} + 9 x = x - 368

x^{2} = 8 0^{2} + 6 0^{2}

x^{2} - x = x - 5

x - 4 = \frac{( x - 22 ) ^{2}}{3}

What are the solutions to the equation X^2-7/6 X+1/3 =0 ?
The solutions to the equation X^2-7/6 X+1/3 =0 are X= 2/3 ,X= 1/2
Find the zeros of X^2-7/6 X+1/3 =0
The zeros of X^2-7/6 X+1/3 =0 are X= 2/3 ,X= 1/2