Solve 2019x^20192019*16 - 161

Question

Simplify the expression

6202981776 x^{2} - 161

Show Solution

x_{1} = - \frac{62417504121}{1550745444}, x_{2} = \frac{62417504121}{1550745444}

Alternative Form

x_{1} \approx - 0.000161, x_{2} \approx 0.000161

Evaluate

2019 x^{2} \times 192019 \times 16 - 161

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

2019 x^{2} \times 192019 \times 16 - 161 = 0

Multiply the terms

More Steps

6202981776 x^{2} - 161 = 0

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

6202981776 x^{2} = 0 + 161

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

6202981776 x^{2} = 161

Divide both sides

\frac{6202981776 x ^{2}}{6202981776} = \frac{161}{6202981776}

Divide the numbers

x^{2} = \frac{161}{6202981776}

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

x = \pm \frac{161}{6202981776}

Simplify the expression

More Steps

x = \pm \frac{62417504121}{1550745444}

Separate the equation into 2 possible cases

x = \frac{62417504121}{1550745444} x = - \frac{62417504121}{1550745444}

Solution

x_{1} = - \frac{62417504121}{1550745444}, x_{2} = \frac{62417504121}{1550745444}

Alternative Form

x_{1} \approx - 0.000161, x_{2} \approx 0.000161

Show Solution