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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

5. Solving Quadratic Equations by Using the Quadratic Formula

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Exercise 8 Page 137

To use the Quadratic Formula identify a, b and c.

3± sqrt(57)/4

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. 2x^2-3x-6=0 ⇕ 2x^2+( - 3)x+( - 6)=0 We see that a= 2, b= - 3, and c= - 6. Let's substitute these values into the Quadratic Formula.

x=- b±sqrt(b^2-4ac)/2a

SubstituteValues

Substitute values

x=- ( - 3)±sqrt(( - 3)^2-4( 2)( - 6))/2( 2)

▼

Solve for x and Simplify

- (- a)=a

x=3±sqrt((- 3)^2-4(2)(- 6))/2(2)

Calculate power

x=3±sqrt(9-4(2)(- 6))/2(2)

Multiply

x=3±sqrt(9-8(- 6))/4

MultNegNegOnePar

- a(- b)=a* b

x=3±sqrt(9 + 48)/4

Add terms

x=3±sqrt(57)/4

Using the Quadratic Formula, we found that the solutions of the given equation are x= 3± sqrt(57)4.

Subchapter links

Exercises p.137-139