Solve 1a^2046-3 - Socratic AI (ScanMath)

Question

Simplify the expression

46 a^{2} - 3

Evaluate

1 \times a^{2} \times 46 - 3

Solution

More Steps

Evaluate

1 \times a^{2} \times 46

Rewrite the expression

a^{2} \times 46

Use the commutative property to reorder the terms

46 a^{2}

46 a^{2} - 3

Show Solution

a_{1} = - \frac{138}{46}, a_{2} = \frac{138}{46}

Alternative Form

a_{1} \approx - 0.255377, a_{2} \approx 0.255377

Evaluate

1 \times a^{2} \times 46 - 3

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

1 \times a^{2} \times 46 - 3 = 0

Multiply the terms

More Steps

Multiply the terms

1 \times a^{2} \times 46

Rewrite the expression

a^{2} \times 46

Use the commutative property to reorder the terms

46 a^{2}

46 a^{2} - 3 = 0

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

46 a^{2} = 0 + 3

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

46 a^{2} = 3

Divide both sides

\frac{46 a ^{2}}{46} = \frac{3}{46}

Divide the numbers

a^{2} = \frac{3}{46}

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

a = \pm \frac{3}{46}

Simplify the expression

More Steps

Evaluate

\frac{3}{46}

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

\frac{3}{46}

Multiply by the Conjugate

\frac{3 \times 46}{46 \times 46}

Multiply the numbers

More Steps

Evaluate

3 \times 46

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

3 \times 46

Calculate the product

138

\frac{138}{46 \times 46}

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

\frac{138}{46}

a = \pm \frac{138}{46}

Separate the equation into 2 possible cases

a = \frac{138}{46} a = - \frac{138}{46}

Solution

a_{1} = - \frac{138}{46}, a_{2} = \frac{138}{46}

Alternative Form

a_{1} \approx - 0.255377, a_{2} \approx 0.255377

Show Solution