Solve p^2074-69001

Question

Simplify the expression

74 p^{2} - 69001

Evaluate

p^{2} \times 74 - 69001

Solution

74 p^{2} - 69001

Show Solution

p_{1} = - \frac{5106074}{74}, p_{2} = \frac{5106074}{74}

Alternative Form

p_{1} \approx - 30.535978, p_{2} \approx 30.535978

Evaluate

p^{2} \times 74 - 69001

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

p^{2} \times 74 - 69001 = 0

Use the commutative property to reorder the terms

74 p^{2} - 69001 = 0

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

74 p^{2} = 0 + 69001

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

74 p^{2} = 69001

Divide both sides

\frac{74 p ^{2}}{74} = \frac{69001}{74}

Divide the numbers

p^{2} = \frac{69001}{74}

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

p = \pm \frac{69001}{74}

Simplify the expression

More Steps

Evaluate

\frac{69001}{74}

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

\frac{69001}{74}

Multiply by the Conjugate

\frac{69001 \times 74}{74 \times 74}

Multiply the numbers

More Steps

Evaluate

69001 \times 74

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

69001 \times 74

Calculate the product

5106074

\frac{5106074}{74 \times 74}

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

\frac{5106074}{74}

p = \pm \frac{5106074}{74}

Separate the equation into 2 possible cases

p = \frac{5106074}{74} p = - \frac{5106074}{74}

Solution

p_{1} = - \frac{5106074}{74}, p_{2} = \frac{5106074}{74}

Alternative Form

p_{1} \approx - 30.535978, p_{2} \approx 30.535978

Show Solution