Solve 18x^2 4-[6(x^2-2) 5]

Question

Simplify the expression

42 x^{2} + 60

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6 (7 x^{2} + 10)

Show Solution

x_{1} = - \frac{70}{7} i, x_{2} = \frac{70}{7} i

Alternative Form

x_{1} \approx - 1.195229 i, x_{2} \approx 1.195229 i

Evaluate

18 x^{2} \times 4 - (6 (x^{2} - 2) \times 5)

To find the roots of the expression,set the expression equal to 0

18 x^{2} \times 4 - (6 (x^{2} - 2) \times 5) = 0

Multiply the terms

18 x^{2} \times 4 - 30 (x^{2} - 2) = 0

Multiply the terms

72 x^{2} - 30 (x^{2} - 2) = 0

Calculate

More Steps

42 x^{2} + 60 = 0

Move the constant to the right-hand side and change its sign

42 x^{2} = 0 - 60

Removing 0 doesn't change the value,so remove it from the expression

42 x^{2} = - 60

Divide both sides

\frac{42 x ^{2}}{42} = \frac{- 60}{42}

Divide the numbers

x^{2} = \frac{- 60}{42}

Divide the numbers

More Steps

x^{2} = - \frac{10}{7}

Take the root of both sides of the equation and remember to use both positive and negative roots

x = \pm - \frac{10}{7}

Simplify the expression

More Steps

x = \pm \frac{70}{7} i

Separate the equation into 2 possible cases

x = \frac{70}{7} i x = - \frac{70}{7} i

Solution

x_{1} = - \frac{70}{7} i, x_{2} = \frac{70}{7} i

Alternative Form

x_{1} \approx - 1.195229 i, x_{2} \approx 1.195229 i

Show Solution