Solve o^2941-2942-2943

Question

Simplify the expression

941 o^{2} - 5885

Evaluate

o^{2} \times 941 - 2942 - 2943

Use the commutative property to reorder the terms

941 o^{2} - 2942 - 2943

Solution

941 o^{2} - 5885

Show Solution

o_{1} = - \frac{5537785}{941}, o_{2} = \frac{5537785}{941}

Alternative Form

o_{1} \approx - 2.500797, o_{2} \approx 2.500797

Evaluate

o^{2} \times 941 - 2942 - 2943

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

o^{2} \times 941 - 2942 - 2943 = 0

Use the commutative property to reorder the terms

941 o^{2} - 2942 - 2943 = 0

Subtract the numbers

941 o^{2} - 5885 = 0

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

941 o^{2} = 0 + 5885

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

941 o^{2} = 5885

Divide both sides

\frac{941 o ^{2}}{941} = \frac{5885}{941}

Divide the numbers

o^{2} = \frac{5885}{941}

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

o = \pm \frac{5885}{941}

Simplify the expression

More Steps

Evaluate

\frac{5885}{941}

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

\frac{5885}{941}

Multiply by the Conjugate

\frac{5885 \times 941}{941 \times 941}

Multiply the numbers

More Steps

Evaluate

5885 \times 941

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

5885 \times 941

Calculate the product

5537785

\frac{5537785}{941 \times 941}

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

\frac{5537785}{941}

o = \pm \frac{5537785}{941}

Separate the equation into 2 possible cases

o = \frac{5537785}{941} o = - \frac{5537785}{941}

Solution

o_{1} = - \frac{5537785}{941}, o_{2} = \frac{5537785}{941}

Alternative Form

o_{1} \approx - 2.500797, o_{2} \approx 2.500797

Show Solution