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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

Preparing for Standardized Tests

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Exercise 1 Page 163

Make sure you write all terms on the left-hand side of the equation and simplify as much as possible before using the Quadratic Formula.

A

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+5x-12=0 ⇕ 1x^2+ 5x+( - 12)=0 We see that a= 1, b= 5, and c= - 12. Let's substitute these values into the Quadratic Formula.

x=- b±sqrt(b^2-4ac)/2a

SubstituteValues

Substitute values

x=- 5±sqrt(5^2-4( 1)( - 12))/2( 1)

▼

Solve for x and Simplify

Calculate power

x=- 5±sqrt(25-4(1)(- 12))/2(1)

Identity Property of Multiplication

x=- 5±sqrt(25-4(- 12))/2

MultNegNegOnePar

- a(- b)=a* b

x=- 5±sqrt(25+48)/2

Add terms

x=- 5 ± sqrt(73)/2

Using the Quadratic Formula, we found that the solution of the given equation is x= - 5 ± sqrt(73)2. Therefore, the correct option is A.

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Exercises p.163