Solve h* h/2 - 1 = 1

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Type your math problem... h* h/2 - 1 = 1

Question

Solve the equation

h_{1} = - 2, h_{2} = 2

Evaluate

h \times \frac{h}{2} - 1 = 1

Multiply the terms

More Steps

Multiply the terms

h \times \frac{h}{2}

Multiply the terms

\frac{h \times h}{2}

Multiply the terms

\frac{h ^{2}}{2}

\frac{h ^{2}}{2} - 1 = 1

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

\frac{h ^{2}}{2} = 1 + 1

Add the numbers

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

Cross multiply

h^{2} = 2 \times 2

Simplify the equation

h^{2} = 4

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

h = \pm 4

Simplify the 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

h = \pm 2

Separate the equation into 2 possible cases

h = 2 h = - 2

Solution

h_{1} = - 2, h_{2} = 2

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