Solve (802) 257-7731 x^214

Question

Simplify the expression

206114 - 108234 x^{2}

Show Solution

2 (103057 - 54117 x^{2})

Show Solution

x_{1} = - \frac{619681741}{18039}, x_{2} = \frac{619681741}{18039}

Alternative Form

x_{1} \approx - 1.379977, x_{2} \approx 1.379977

Evaluate

802 \times 257 - 7731 x^{2} \times 14

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

802 \times 257 - 7731 x^{2} \times 14 = 0

Multiply the numbers

206114 - 7731 x^{2} \times 14 = 0

Multiply the terms

206114 - 108234 x^{2} = 0

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

- 108234 x^{2} = 0 - 206114

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

- 108234 x^{2} = - 206114

Change the signs on both sides of the equation

108234 x^{2} = 206114

Divide both sides

\frac{108234 x ^{2}}{108234} = \frac{206114}{108234}

Divide the numbers

x^{2} = \frac{206114}{108234}

Cancel out the common factor 2

x^{2} = \frac{103057}{54117}

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

x = \pm \frac{103057}{54117}

Simplify the expression

More Steps

x = \pm \frac{619681741}{18039}

Separate the equation into 2 possible cases

x = \frac{619681741}{18039} x = - \frac{619681741}{18039}

Solution

x_{1} = - \frac{619681741}{18039}, x_{2} = \frac{619681741}{18039}

Alternative Form

x_{1} \approx - 1.379977, x_{2} \approx 1.379977

Show Solution