Solve p^2474-69001 - Socratic AI (ScanMath)

Pregunta

Simplify the expression

474 p^{2} - 69001

Evaluate

p^{2} \times 474 - 69001

Solución

474 p^{2} - 69001

Mostrar solución

p_{1} = - \frac{32706474}{474}, p_{2} = \frac{32706474}{474}

Alternative Form

p_{1} \approx - 12.065311, p_{2} \approx 12.065311

Evaluate

p^{2} \times 474 - 69001

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

p^{2} \times 474 - 69001 = 0

Use the commutative property to reorder the terms

474 p^{2} - 69001 = 0

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

474 p^{2} = 0 + 69001

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

474 p^{2} = 69001

Divide both sides

\frac{474 p ^{2}}{474} = \frac{69001}{474}

Divide the numbers

p^{2} = \frac{69001}{474}

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

p = \pm \frac{69001}{474}

Simplify the expression

Más Pasos

Evaluate

\frac{69001}{474}

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

\frac{69001}{474}

Multiply by the Conjugate

\frac{69001 \times 474}{474 \times 474}

Multiply the numbers

Más Pasos

Evaluate

69001 \times 474

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

69001 \times 474

Calculate the product

32706474

\frac{32706474}{474 \times 474}

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

\frac{32706474}{474}

p = \pm \frac{32706474}{474}

Separate the equation into 2 possible cases

p = \frac{32706474}{474} p = - \frac{32706474}{474}

Solución

p_{1} = - \frac{32706474}{474}, p_{2} = \frac{32706474}{474}

Alternative Form

p_{1} \approx - 12.065311, p_{2} \approx 12.065311

Mostrar solución