Solve x1x1-2009 - ScanMath

Question

Simplify the expression

x^{2} - 2009

Evaluate

x \times 1 \times x \times 1 - 2009

Solution

More Steps

Evaluate

x \times 1 \times x \times 1

Rewrite the expression

x \times x

Multiply the terms

x^{2}

x^{2} - 2009

Show Solution

x_{1} = - 741, x_{2} = 741

Alternative Form

x_{1} \approx - 44.82187, x_{2} \approx 44.82187

Evaluate

x \times 1 \times x \times 1 - 2009

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

x \times 1 \times x \times 1 - 2009 = 0

Multiply the terms

More Steps

Multiply the terms

x \times 1 \times x \times 1

Rewrite the expression

x \times x

Multiply the terms

x^{2}

x^{2} - 2009 = 0

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

x^{2} = 0 + 2009

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

x^{2} = 2009

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

x = \pm 2009

Simplify the expression

More Steps

Evaluate

2009

Write the expression as a product where the root of one of the factors can be evaluated

49 \times 41

Write the number in exponential form with the base of 7

7^{2} \times 41

The root of a product is equal to the product of the roots of each factor

7^{2} \times 41

Reduce the index of the radical and exponent with 2

741

x = \pm 741

Separate the equation into 2 possible cases

x = 741 x = - 741

Solution

x_{1} = - 741, x_{2} = 741

Alternative Form

x_{1} \approx - 44.82187, x_{2} \approx 44.82187

Show Solution