Solve 3100-15q^228

Question

Simplify the expression

3100 - 420 q^{2}

Evaluate

3100 - 15 q^{2} \times 28

Solution

3100 - 420 q^{2}

Show Solution

20 (155 - 21 q^{2})

Evaluate

3100 - 15 q^{2} \times 28

Multiply the terms

3100 - 420 q^{2}

Solution

20 (155 - 21 q^{2})

Show Solution

q_{1} = - \frac{3255}{21}, q_{2} = \frac{3255}{21}

Alternative Form

q_{1} \approx - 2.716791, q_{2} \approx 2.716791

Evaluate

3100 - 15 q^{2} \times 28

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

3100 - 15 q^{2} \times 28 = 0

Multiply the terms

3100 - 420 q^{2} = 0

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

- 420 q^{2} = 0 - 3100

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

- 420 q^{2} = - 3100

Change the signs on both sides of the equation

420 q^{2} = 3100

Divide both sides

\frac{420 q ^{2}}{420} = \frac{3100}{420}

Divide the numbers

q^{2} = \frac{3100}{420}

Cancel out the common factor 20

q^{2} = \frac{155}{21}

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

q = \pm \frac{155}{21}

Simplify the expression

More Steps

Evaluate

\frac{155}{21}

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

\frac{155}{21}

Multiply by the Conjugate

\frac{155 \times 21}{21 \times 21}

Multiply the numbers

More Steps

Evaluate

155 \times 21

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

155 \times 21

Calculate the product

3255

\frac{3255}{21 \times 21}

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

\frac{3255}{21}

q = \pm \frac{3255}{21}

Separate the equation into 2 possible cases

q = \frac{3255}{21} q = - \frac{3255}{21}

Solution

q_{1} = - \frac{3255}{21}, q_{2} = \frac{3255}{21}

Alternative Form

q_{1} \approx - 2.716791, q_{2} \approx 2.716791

Show Solution