Solve p^2814-63001 - Socratic AI (ScanMath)

Pergunta

Simplify the expression

814 p^{2} - 63001

Evaluate

p^{2} \times 814 - 63001

Solução

814 p^{2} - 63001

Mostrar solução

p_{1} = - \frac{251 814}{814}, p_{2} = \frac{251 814}{814}

Alternative Form

p_{1} \approx - 8.797545, p_{2} \approx 8.797545

Evaluate

p^{2} \times 814 - 63001

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

p^{2} \times 814 - 63001 = 0

Use the commutative property to reorder the terms

814 p^{2} - 63001 = 0

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

814 p^{2} = 0 + 63001

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

814 p^{2} = 63001

Divide both sides

\frac{814 p ^{2}}{814} = \frac{63001}{814}

Divide the numbers

p^{2} = \frac{63001}{814}

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

p = \pm \frac{63001}{814}

Simplify the expression

Mais Passos

Evaluate

\frac{63001}{814}

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

\frac{63001}{814}

Simplify the radical expression

Mais Passos

Evaluate

63001

Write the number in exponential form with the base of 251

25 1^{2}

Reduce the index of the radical and exponent with 2

251

\frac{251}{814}

Multiply by the Conjugate

\frac{251 814}{814 \times 814}

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

\frac{251 814}{814}

p = \pm \frac{251 814}{814}

Separate the equation into 2 possible cases

p = \frac{251 814}{814} p = - \frac{251 814}{814}

Solução

p_{1} = - \frac{251 814}{814}, p_{2} = \frac{251 814}{814}

Alternative Form

p_{1} \approx - 8.797545, p_{2} \approx 8.797545

Mostrar solução