Solve (81o) 58o-2536

Question

Simplify the expression

4698 o^{2} - 2536

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2 (2349 o^{2} - 1268)

Show Solution

o_{1} = - \frac{2 9193}{261}, o_{2} = \frac{2 9193}{261}

Alternative Form

o_{1} \approx - 0.734714, o_{2} \approx 0.734714

Evaluate

(81 o) \times 58 o - 2536

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

(81 o) \times 58 o - 2536 = 0

Multiply the terms

81 o \times 58 o - 2536 = 0

Multiply

More Steps

4698 o^{2} - 2536 = 0

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

4698 o^{2} = 0 + 2536

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

4698 o^{2} = 2536

Divide both sides

\frac{4698 o ^{2}}{4698} = \frac{2536}{4698}

Divide the numbers

o^{2} = \frac{2536}{4698}

Cancel out the common factor 2

o^{2} = \frac{1268}{2349}

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

o = \pm \frac{1268}{2349}

Simplify the expression

More Steps

o = \pm \frac{2 9193}{261}

Separate the equation into 2 possible cases

o = \frac{2 9193}{261} o = - \frac{2 9193}{261}

Solution

o_{1} = - \frac{2 9193}{261}, o_{2} = \frac{2 9193}{261}

Alternative Form

o_{1} \approx - 0.734714, o_{2} \approx 0.734714

Show Solution