Solve x^2 6x-7 - ScanMath

Question

Simplify the expression

6 x^{3} - 7

Evaluate

x^{2} \times 6 x - 7

Solution

More Steps

Evaluate

x^{2} \times 6 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 6

Add the numbers

x^{3} \times 6

Use the commutative property to reorder the terms

6 x^{3}

6 x^{3} - 7

Show Solution

x = \frac{3 252}{6}

Alternative Form

x \approx 1.052727

Evaluate

x^{2} \times 6 x - 7

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

x^{2} \times 6 x - 7 = 0

Multiply

More Steps

Multiply the terms

x^{2} \times 6 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 6

Add the numbers

x^{3} \times 6

Use the commutative property to reorder the terms

6 x^{3}

6 x^{3} - 7 = 0

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

6 x^{3} = 0 + 7

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

6 x^{3} = 7

Divide both sides

\frac{6 x ^{3}}{6} = \frac{7}{6}

Divide the numbers

x^{3} = \frac{7}{6}

Take the 3 -th root on both sides of the equation

3 x^{3} = 3 \frac{7}{6}

Calculate

x = 3 \frac{7}{6}

Solution

More Steps

Evaluate

3 \frac{7}{6}

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

\frac{3 7}{3 6}

Multiply by the Conjugate

\frac{3 7 \times 3 6 ^{2}}{3 6 \times 3 6 ^{2}}

Simplify

\frac{3 7 \times 3 36}{3 6 \times 3 6 ^{2}}

Multiply the numbers

More Steps

Evaluate

37 \times 336

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

3 7 \times 36

Calculate the product

3252

\frac{3 252}{3 6 \times 3 6 ^{2}}

Multiply the numbers

More Steps

Evaluate

36 \times 3 6^{2}

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

3 6 \times 6^{2}

Calculate the product

3 6^{3}

Reduce the index of the radical and exponent with 3

6

\frac{3 252}{6}

x = \frac{3 252}{6}

Alternative Form

x \approx 1.052727

Show Solution