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McGraw Hill Integrated II, 2012 View details

5. Solving Quadratic Equations by Using the Quadratic Formula

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Exercise 32 Page 137

Use the Quadratic Formula.

No real solutions.

Practice makes perfect

We will use the Quadratic Formula to solve the given quadratic equation. ax^2+ bx+ c=0 ⇕ x=- b± sqrt(b^2-4 a c)/2 aWe first need to identify the values of a, b, and c. 4x^2 + 100 = 0 ⇕ 4x^2+( 0)x+ 100=0 We see that a= 4, b= 0, and c= 100. Let's substitute these values into the Quadratic Formula.

x=- b±sqrt(b^2-4ac)/2a

SubstituteValues

Substitute values

x=- 0±sqrt(( 0)^2-4( 4)( 100))/2( 4)

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Solve for x and Simplify

CalcPow

Calculate power

x=- 0±sqrt(0-4(4)(100))/2(4)

Multiply

x=- 0±sqrt(0-1600)/8

SubTerm