Solve h^2293-21-0

Question

Simplify the expression

293 h^{2} - 21

Evaluate

h^{2} \times 293 - 21 - 0

Use the commutative property to reorder the terms

293 h^{2} - 21 - 0

Solution

293 h^{2} - 21

Show Solution

h_{1} = - \frac{6153}{293}, h_{2} = \frac{6153}{293}

Alternative Form

h_{1} \approx - 0.267717, h_{2} \approx 0.267717

Evaluate

h^{2} \times 293 - 21 - 0

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

h^{2} \times 293 - 21 - 0 = 0

Use the commutative property to reorder the terms

293 h^{2} - 21 - 0 = 0

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

293 h^{2} - 21 = 0

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

293 h^{2} = 0 + 21

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

293 h^{2} = 21

Divide both sides

\frac{293 h ^{2}}{293} = \frac{21}{293}

Divide the numbers

h^{2} = \frac{21}{293}

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

h = \pm \frac{21}{293}

Simplify the expression

More Steps

Evaluate

\frac{21}{293}

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

\frac{21}{293}

Multiply by the Conjugate

\frac{21 \times 293}{293 \times 293}

Multiply the numbers

More Steps

Evaluate

21 \times 293

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

21 \times 293

Calculate the product

6153

\frac{6153}{293 \times 293}

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

\frac{6153}{293}

h = \pm \frac{6153}{293}

Separate the equation into 2 possible cases

h = \frac{6153}{293} h = - \frac{6153}{293}

Solution

h_{1} = - \frac{6153}{293}, h_{2} = \frac{6153}{293}

Alternative Form

h_{1} \approx - 0.267717, h_{2} \approx 0.267717

Show Solution