Solve m^2943-759010

Question

m^{2} \times 943 - 759010

Simplify the expression

943 m^{2} - 759010

Evaluate

m^{2} \times 943 - 759010

Solution

943 m^{2} - 759010

Show Solution

m_{1} = - \frac{7 14607070}{943}, m_{2} = \frac{7 14607070}{943}

Alternative Form

m_{1} \approx - 28.37056, m_{2} \approx 28.37056

Evaluate

m^{2} \times 943 - 759010

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

m^{2} \times 943 - 759010 = 0

Use the commutative property to reorder the terms

943 m^{2} - 759010 = 0

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

943 m^{2} = 0 + 759010

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

943 m^{2} = 759010

Divide both sides

\frac{943 m ^{2}}{943} = \frac{759010}{943}

Divide the numbers

m^{2} = \frac{759010}{943}

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

m = \pm \frac{759010}{943}

Simplify the expression

More Steps

Evaluate

\frac{759010}{943}

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

\frac{759010}{943}

Simplify the radical expression

More Steps

Evaluate

759010

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

49 \times 15490

Write the number in exponential form with the base of 7

7^{2} \times 15490

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

7^{2} \times 15490

Reduce the index of the radical and exponent with 2

715490

\frac{7 15490}{943}

Multiply by the Conjugate

\frac{7 15490 \times 943}{943 \times 943}

Multiply the numbers

More Steps

Evaluate

15490 \times 943

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

15490 \times 943

Calculate the product

14607070

\frac{7 14607070}{943 \times 943}

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

\frac{7 14607070}{943}

m = \pm \frac{7 14607070}{943}

Separate the equation into 2 possible cases

m = \frac{7 14607070}{943} m = - \frac{7 14607070}{943}

Solution

m_{1} = - \frac{7 14607070}{943}, m_{2} = \frac{7 14607070}{943}

Alternative Form

m_{1} \approx - 28.37056, m_{2} \approx 28.37056

Show Solution