Solve S^2050-400 - ScanMath

Question

Simplify the expression

50 S^{2} - 400

Evaluate

S^{2} \times 50 - 400

Solution

50 S^{2} - 400

Show Solution

50 (S^{2} - 8)

Evaluate

S^{2} \times 50 - 400

Use the commutative property to reorder the terms

50 S^{2} - 400

Solution

50 (S^{2} - 8)

Show Solution

S_{1} = - 22, S_{2} = 22

Alternative Form

S_{1} \approx - 2.828427, S_{2} \approx 2.828427

Evaluate

S^{2} \times 50 - 400

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

S^{2} \times 50 - 400 = 0

Use the commutative property to reorder the terms

50 S^{2} - 400 = 0

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

50 S^{2} = 0 + 400

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

50 S^{2} = 400

Divide both sides

\frac{50 S ^{2}}{50} = \frac{400}{50}

Divide the numbers

S^{2} = \frac{400}{50}

Divide the numbers

More Steps

Evaluate

\frac{400}{50}

Reduce the numbers

\frac{8}{1}

Calculate

8

S^{2} = 8

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

S = \pm 8

Simplify the expression

More Steps

Evaluate

8

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

4 \times 2

Write the number in exponential form with the base of 2

2^{2} \times 2

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

2^{2} \times 2

Reduce the index of the radical and exponent with 2

22

S = \pm 22

Separate the equation into 2 possible cases

S = 22 S = - 22

Solution

S_{1} = - 22, S_{2} = 22

Alternative Form

S_{1} \approx - 2.828427, S_{2} \approx 2.828427

Show Solution