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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

Study Guide and Review

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Exercise 24 Page 217

Recall that sqrt(- a)=isqrt(a).

±1/2i

Practice makes perfect

To solve the given equation, let's first isolate x^2.

4x^2+1=0

LHS-1=RHS-1

4x^2=- 1

.LHS /4.=.RHS /4.

x^2=- 1/4

We cannot find any real square roots of a negative number, so we will need to use the fact that sqrt(- a)=isqrt(a) to solve for x.

x^2=- 1/4

sqrt(LHS)=sqrt(RHS)

x=± sqrt(- 1/4)

sqrt(- a)= isqrt(a)

x=± i sqrt(1/4)

sqrt(a/b)=sqrt(a)/sqrt(b)

x=± i sqrt(1)/sqrt(4)

Calculate root

x=± i * 1/2

Multiply

x=± 1/2i

Subchapter links

1 Solving Quadratic Equations by Factoring p.217

2 Complex Numbers p.217

3 The Quadratic Formula and the Discriminant p.218

4 Transformations of Quadratic Graphs p.218

5 Quadratic Inequalities p.219

Practice Test p.219