What are the solutions to the equation (x^2)/2-11=-(3x)/4 ?

The solutions to the equation (x^2)/2-11=-(3x)/4 are x=4,x=-11/2

Find the zeros of (x^2)/2-11=-(3x)/4

The zeros of (x^2)/2-11=-(3x)/4 are x=4,x=-11/2

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\frac{x ^{2}}{2} - 11 = - \frac{3 x}{4}

x = 4, x = - \frac{11}{2}

Decimal Notation

x = 4, x = - 5.5

Solution steps

\frac{x ^{2}}{2} - 11 = - \frac{3 x}{4}

Find Least Common Multiplier of

2, 4 : 4

Multiply by LCM=

4

\frac{x ^{2}}{2} \cdot 4 - 11 \cdot 4 = - \frac{3 x}{4} \cdot 4

Simplify

2 x^{2} - 44 = - 3 x

Move

3 x

to the left side

2 x^{2} - 44 + 3 x = 0

Write in the standard form

a x^{2} + b x + c = 0

2 x^{2} + 3 x - 44 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 3 \pm 3 ^{2} - 4 \cdot 2 ( - 44 )}{2 \cdot 2}

3^{2} - 4 \cdot 2 (- 44) = 19

x_{1, 2} = \frac{- 3 \pm 19}{2 \cdot 2}

Separate the solutions

x_{1} = \frac{- 3 + 19}{2 \cdot 2}, x_{2} = \frac{- 3 - 19}{2 \cdot 2}

x = \frac{- 3 + 19}{2 \cdot 2} : 4

x = \frac{- 3 - 19}{2 \cdot 2} : - \frac{11}{2}

The solutions to the quadratic equation are:

x = 4, x = - \frac{11}{2}

x, x^{2} + y^{3} = 11

x^{2} = 0.01

- 6 x^{2} + 78 x - 216 = 0

x^{2} = 61

x = 10 x^{2} - 11 x - 35

What are the solutions to the equation (x^2)/2-11=-(3x)/4 ?
The solutions to the equation (x^2)/2-11=-(3x)/4 are x=4,x=-11/2
Find the zeros of (x^2)/2-11=-(3x)/4
The zeros of (x^2)/2-11=-(3x)/4 are x=4,x=-11/2