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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 17 Page 137

You cannot calculate the root of a negative number.

No real solution.

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. x^2 + 16 = 0 ⇕ 1x^2+ 0x+ 16=0 We see that a= 1, b= 0, and c= 16. 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( 1)( 16))/2( 1)

CalcPow

Calculate power

x=- 0±sqrt(-4(1)(16))/2(1)

Multiply

x=- 0±sqrt(- 64)/2

Since we cannot calculate the root of a negative number, there are no real solutions of the given equation.