Solve ( 181o) 58o-2957

Question

Simplify the expression

10498 o^{2} - 2957

Evaluate

181 o \times 58 o - 2957

Solution

More Steps

Evaluate

181 o \times 58 o

Multiply the terms

10498 o \times o

Multiply the terms

10498 o^{2}

10498 o^{2} - 2957

Show Solution

o_{1} = - \frac{31042586}{10498}, o_{2} = \frac{31042586}{10498}

Alternative Form

o_{1} \approx - 0.530728, o_{2} \approx 0.530728

Evaluate

(181 o) \times 58 o - 2957

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

(181 o) \times 58 o - 2957 = 0

Multiply the terms

181 o \times 58 o - 2957 = 0

Multiply

More Steps

Multiply the terms

181 o \times 58 o

Multiply the terms

10498 o \times o

Multiply the terms

10498 o^{2}

10498 o^{2} - 2957 = 0

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

10498 o^{2} = 0 + 2957

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

10498 o^{2} = 2957

Divide both sides

\frac{10498 o ^{2}}{10498} = \frac{2957}{10498}

Divide the numbers

o^{2} = \frac{2957}{10498}

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

o = \pm \frac{2957}{10498}

Simplify the expression

More Steps

Evaluate

\frac{2957}{10498}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{2957}{10498}

Multiply by the Conjugate

\frac{2957 \times 10498}{10498 \times 10498}

Multiply the numbers

More Steps

Evaluate

2957 \times 10498

The product of roots with the same index is equal to the root of the product

2957 \times 10498

Calculate the product

31042586

\frac{31042586}{10498 \times 10498}

When a square root of an expression is multiplied by itself,the result is that expression

\frac{31042586}{10498}

o = \pm \frac{31042586}{10498}

Separate the equation into 2 possible cases

o = \frac{31042586}{10498} o = - \frac{31042586}{10498}

Solution

o_{1} = - \frac{31042586}{10498}, o_{2} = \frac{31042586}{10498}

Alternative Form

o_{1} \approx - 0.530728, o_{2} \approx 0.530728

Show Solution