Solve 1U^295-10 - ScanMath

Question

Simplify the expression

95 U^{2} - 10

Evaluate

1 \times U^{2} \times 95 - 10

Solution

More Steps

Evaluate

1 \times U^{2} \times 95

Rewrite the expression

U^{2} \times 95

Use the commutative property to reorder the terms

95 U^{2}

95 U^{2} - 10

Show Solution

5 (19 U^{2} - 2)

Evaluate

1 \times U^{2} \times 95 - 10

Multiply the terms

More Steps

Evaluate

1 \times U^{2} \times 95

Rewrite the expression

U^{2} \times 95

Use the commutative property to reorder the terms

95 U^{2}

95 U^{2} - 10

Solution

5 (19 U^{2} - 2)

Show Solution

U_{1} = - \frac{38}{19}, U_{2} = \frac{38}{19}

Alternative Form

U_{1} \approx - 0.324443, U_{2} \approx 0.324443

Evaluate

1 \times U^{2} \times 95 - 10

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

1 \times U^{2} \times 95 - 10 = 0

Multiply the terms

More Steps

Multiply the terms

1 \times U^{2} \times 95

Rewrite the expression

U^{2} \times 95

Use the commutative property to reorder the terms

95 U^{2}

95 U^{2} - 10 = 0

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

95 U^{2} = 0 + 10

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

95 U^{2} = 10

Divide both sides

\frac{95 U ^{2}}{95} = \frac{10}{95}

Divide the numbers

U^{2} = \frac{10}{95}

Cancel out the common factor 5

U^{2} = \frac{2}{19}

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

U = \pm \frac{2}{19}

Simplify the expression

More Steps

Evaluate

\frac{2}{19}

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

\frac{2}{19}

Multiply by the Conjugate

\frac{2 \times 19}{19 \times 19}

Multiply the numbers

More Steps

Evaluate

2 \times 19

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

2 \times 19

Calculate the product

38

\frac{38}{19 \times 19}

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

\frac{38}{19}

U = \pm \frac{38}{19}

Separate the equation into 2 possible cases

U = \frac{38}{19} U = - \frac{38}{19}

Solution

U_{1} = - \frac{38}{19}, U_{2} = \frac{38}{19}

Alternative Form

U_{1} \approx - 0.324443, U_{2} \approx 0.324443

Show Solution