Solve -2/9x^2/7 = 4

Question

Solve the equation(The real numbers system)

x \in / R

Alternative Form

No real solution

Show Solution

Solve using the quadratic formula in the complex numbers system

Solve using the PQ formula in the complex numbers system

x_{1} = - 314 \times i, x_{2} = 314 \times i

Evaluate

- \frac{2}{9} \times \frac{x ^{2}}{7} = 4

Multiply the terms

More Steps

- \frac{2 x ^{2}}{63} = 4

Rewrite the expression

- \frac{2}{63} x^{2} = 4

Move the expression to the left side

- \frac{2}{63} x^{2} - 4 = 0

Multiply both sides

\frac{2}{63} x^{2} + 4 = 0

Multiply both sides

63 (\frac{2}{63} x^{2} + 4) = 63 \times 0

Calculate

2 x^{2} + 252 = 0

Substitute a= 2,b= 0 and c= 252 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{0 \pm 0 ^{2} - 4 \times 2 \times 252}{2 \times 2}

Simplify the expression

x = \frac{0 \pm 0 ^{2} - 4 \times 2 \times 252}{4}

Simplify the expression

More Steps

x = \frac{0 \pm - 2016}{4}

Simplify the radical expression

More Steps

x = \frac{0 \pm 12 14 \times i}{4}

Separate the equation into 2 possible cases

x = \frac{0 + 12 14 \times i}{4} x = \frac{0 - 12 14 \times i}{4}

Simplify the expression

More Steps

x = 314 \times i x = \frac{0 - 12 14 \times i}{4}

Simplify the expression

More Steps

x = 314 \times i x = - 314 \times i

Solution

x_{1} = - 314 \times i, x_{2} = 314 \times i

Show Solution

x_{1} = - 314, x_{2} = 314

Alternative Form

x_{1} \approx - 11.224972, x_{2} \approx 11.224972

Show Solution