Solve 3 1/4x^3 3 1/2x^2

Question

Simplify the expression

\frac{91}{8} x^{5}

Evaluate

3 \frac{1}{4} \times x^{3} \times 3 \frac{1}{2} \times x^{2}

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

3 \frac{1}{4}

Multiply the denominator of the fraction by the whole number and add the numerator of the fraction

\frac{3 \times 4 + 1}{4}

Multiply the terms

\frac{12 + 1}{4}

Add the terms

\frac{13}{4}

\frac{13}{4} x^{3} \times 3 \frac{1}{2} \times x^{2}

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

3 \frac{1}{2}

Multiply the denominator of the fraction by the whole number and add the numerator of the fraction

\frac{3 \times 2 + 1}{2}

Multiply the terms

\frac{6 + 1}{2}

Add the terms

\frac{7}{2}

\frac{13}{4} x^{3} \times \frac{7}{2} x^{2}

Multiply the terms

More Steps

Evaluate

\frac{13}{4} \times \frac{7}{2}

To multiply the fractions,multiply the numerators and denominators separately

\frac{13 \times 7}{4 \times 2}

Multiply the numbers

\frac{91}{4 \times 2}

Multiply the numbers

\frac{91}{8}

\frac{91}{8} x^{3} \times x^{2}

Multiply the terms with the same base by adding their exponents

\frac{91}{8} x^{3 + 2}

Solution

\frac{91}{8} x^{5}

Show Solution

Find the roots

x = 0

Evaluate

3 \frac{1}{4} \times x^{3} \times 3 \frac{1}{2} \times x^{2}

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

3 \frac{1}{4} \times x^{3} \times 3 \frac{1}{2} \times x^{2} = 0

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

3 \frac{1}{4}

Multiply the denominator of the fraction by the whole number and add the numerator of the fraction

\frac{3 \times 4 + 1}{4}

Multiply the terms

\frac{12 + 1}{4}

Add the terms

\frac{13}{4}

\frac{13}{4} x^{3} \times 3 \frac{1}{2} \times x^{2} = 0

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

3 \frac{1}{2}

Multiply the denominator of the fraction by the whole number and add the numerator of the fraction

\frac{3 \times 2 + 1}{2}

Multiply the terms

\frac{6 + 1}{2}

Add the terms

\frac{7}{2}

\frac{13}{4} x^{3} \times \frac{7}{2} x^{2} = 0

Multiply

More Steps

Multiply the terms

\frac{13}{4} x^{3} \times \frac{7}{2} x^{2}

Multiply the terms

More Steps

Evaluate

\frac{13}{4} \times \frac{7}{2}

To multiply the fractions,multiply the numerators and denominators separately

\frac{13 \times 7}{4 \times 2}

Multiply the numbers

\frac{91}{4 \times 2}

Multiply the numbers

\frac{91}{8}

\frac{91}{8} x^{3} \times x^{2}

Multiply the terms with the same base by adding their exponents

\frac{91}{8} x^{3 + 2}

Add the numbers

\frac{91}{8} x^{5}

\frac{91}{8} x^{5} = 0

Rewrite the expression

x^{5} = 0

Solution

x = 0

Show Solution