What are the solutions to the equation x^2-2/3 x-7/16 =0 ?

The solutions to the equation x^2-2/3 x-7/16 =0 are x=(4+sqrt(79))/(12),x=(4-sqrt(79))/(12)

Find the zeros of x^2-2/3 x-7/16 =0

The zeros of x^2-2/3 x-7/16 =0 are x=(4+sqrt(79))/(12),x=(4-sqrt(79))/(12)

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x^{2} - \frac{2}{3} x - \frac{7}{16} = 0

x = \frac{4 + 79}{12}, x = \frac{4 - 79}{12}

Decimal Notation

x = 1.07401 \dots, x = - 0.40734 \dots

Solution steps

x^{2} - \frac{2}{3} x - \frac{7}{16} = 0

Find Least Common Multiplier of

3, 16 : 48

Multiply by LCM=

48

x^{2} \cdot 48 - \frac{2}{3} x \cdot 48 - \frac{7}{16} \cdot 48 = 0 \cdot 48

Simplify

48 x^{2} - 32 x - 21 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 32 ) \pm ( - 32 ) ^{2} - 4 \cdot 48 ( - 21 )}{2 \cdot 48}

(- 32)^{2} - 4 \cdot 48 (- 21) = 879

x_{1, 2} = \frac{- ( - 32 ) \pm 8 79}{2 \cdot 48}

Separate the solutions

x_{1} = \frac{- ( - 32 ) + 8 79}{2 \cdot 48}, x_{2} = \frac{- ( - 32 ) - 8 79}{2 \cdot 48}

x = \frac{- ( - 32 ) + 8 79}{2 \cdot 48} : \frac{4 + 79}{12}

x = \frac{- ( - 32 ) - 8 79}{2 \cdot 48} : \frac{4 - 79}{12}

The solutions to the quadratic equation are:

x = \frac{4 + 79}{12}, x = \frac{4 - 79}{12}

0.51 = \frac{12.96 + 28.09 - c ^{2}}{28.16}

m - 2 = m^{2} + 2 m + 4

4 x^{2} - 2 x = 12

2 x^{2} - 4 x - 10 = - 4

64 = 16 t^{2}

What are the solutions to the equation x^2-2/3 x-7/16 =0 ?
The solutions to the equation x^2-2/3 x-7/16 =0 are x=(4+sqrt(79))/(12),x=(4-sqrt(79))/(12)
Find the zeros of x^2-2/3 x-7/16 =0
The zeros of x^2-2/3 x-7/16 =0 are x=(4+sqrt(79))/(12),x=(4-sqrt(79))/(12)