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

Question

Simplify the expression

\frac{6435}{32} x^{4}

Evaluate

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

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

22 \frac{1}{2}

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

\frac{22 \times 2 + 1}{2}

Multiply the terms

\frac{44 + 1}{2}

Add the terms

\frac{45}{2}

\frac{45}{2} x^{2} \times 2 \frac{3}{4} \times x^{2} \times 3 \frac{1}{4}

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

2 \frac{3}{4}

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

\frac{2 \times 4 + 3}{4}

Multiply the terms

\frac{8 + 3}{4}

Add the terms

\frac{11}{4}

\frac{45}{2} x^{2} \times \frac{11}{4} x^{2} \times 3 \frac{1}{4}

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{45}{2} x^{2} \times \frac{11}{4} x^{2} \times \frac{13}{4}

Multiply the terms

More Steps

Evaluate

\frac{45}{2} \times \frac{11}{4} \times \frac{13}{4}

Multiply the terms

More Steps

Evaluate

\frac{45}{2} \times \frac{11}{4}

To multiply the fractions,multiply the numerators and denominators separately

\frac{45 \times 11}{2 \times 4}

Multiply the numbers

\frac{495}{2 \times 4}

Multiply the numbers

\frac{495}{8}

\frac{495}{8} \times \frac{13}{4}

To multiply the fractions,multiply the numerators and denominators separately

\frac{495 \times 13}{8 \times 4}

Multiply the numbers

\frac{6435}{8 \times 4}

Multiply the numbers

\frac{6435}{32}

\frac{6435}{32} x^{2} \times x^{2}

Multiply the terms with the same base by adding their exponents

\frac{6435}{32} x^{2 + 2}

Solution

\frac{6435}{32} x^{4}

Show Solution

Find the roots

x = 0

Evaluate

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

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

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

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

22 \frac{1}{2}

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

\frac{22 \times 2 + 1}{2}

Multiply the terms

\frac{44 + 1}{2}

Add the terms

\frac{45}{2}

\frac{45}{2} x^{2} \times 2 \frac{3}{4} \times x^{2} \times 3 \frac{1}{4} = 0

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

2 \frac{3}{4}

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

\frac{2 \times 4 + 3}{4}

Multiply the terms

\frac{8 + 3}{4}

Add the terms

\frac{11}{4}

\frac{45}{2} x^{2} \times \frac{11}{4} x^{2} \times 3 \frac{1}{4} = 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{45}{2} x^{2} \times \frac{11}{4} x^{2} \times \frac{13}{4} = 0

Multiply

More Steps

Multiply the terms

\frac{45}{2} x^{2} \times \frac{11}{4} x^{2} \times \frac{13}{4}

Multiply the terms

More Steps

Evaluate

\frac{45}{2} \times \frac{11}{4} \times \frac{13}{4}

Multiply the terms

\frac{495}{8} \times \frac{13}{4}

To multiply the fractions,multiply the numerators and denominators separately

\frac{495 \times 13}{8 \times 4}

Multiply the numbers

\frac{6435}{8 \times 4}

Multiply the numbers

\frac{6435}{32}

\frac{6435}{32} x^{2} \times x^{2}

Multiply the terms with the same base by adding their exponents

\frac{6435}{32} x^{2 + 2}

Add the numbers

\frac{6435}{32} x^{4}

\frac{6435}{32} x^{4} = 0

Rewrite the expression

x^{4} = 0

Solution

x = 0

Show Solution