Solve 1x73x-4 - Socratic AI (ScanMath)

Question

Simplify the expression

73 x^{2} - 4

Evaluate

1 \times x \times 73 x - 4

Solution

More Steps

Evaluate

1 \times x \times 73 x

Rewrite the expression

x \times 73 x

Multiply the terms

x^{2} \times 73

Use the commutative property to reorder the terms

73 x^{2}

73 x^{2} - 4

Show Solution

x_{1} = - \frac{2 73}{73}, x_{2} = \frac{2 73}{73}

Alternative Form

x_{1} \approx - 0.234082, x_{2} \approx 0.234082

Evaluate

1 \times x \times 73 x - 4

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

1 \times x \times 73 x - 4 = 0

Multiply the terms

More Steps

Multiply the terms

1 \times x \times 73 x

Rewrite the expression

x \times 73 x

Multiply the terms

x^{2} \times 73

Use the commutative property to reorder the terms

73 x^{2}

73 x^{2} - 4 = 0

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

73 x^{2} = 0 + 4

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

73 x^{2} = 4

Divide both sides

\frac{73 x ^{2}}{73} = \frac{4}{73}

Divide the numbers

x^{2} = \frac{4}{73}

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

x = \pm \frac{4}{73}

Simplify the expression

More Steps

Evaluate

\frac{4}{73}

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

\frac{4}{73}

Simplify the radical expression

More Steps

Evaluate

4

Write the number in exponential form with the base of 2

2^{2}

Reduce the index of the radical and exponent with 2

2

\frac{2}{73}

Multiply by the Conjugate

\frac{2 73}{73 \times 73}

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

\frac{2 73}{73}

x = \pm \frac{2 73}{73}

Separate the equation into 2 possible cases

x = \frac{2 73}{73} x = - \frac{2 73}{73}

Solution

x_{1} = - \frac{2 73}{73}, x_{2} = \frac{2 73}{73}

Alternative Form

x_{1} \approx - 0.234082, x_{2} \approx 0.234082

Show Solution