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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 48 Page 138

Make sure you write all the terms on the left-hand side of the equation before using the Quadratic Formula.

3.4, - 1.4

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 a Let's start by rewriting the equation so all of the terms are on the left-hand side and then simplify as much as possible. x^2 - 2x = 5 ⇔ x^2 - 2x - 5 = 0 Now, we can identify the values of a, b, and c. x^2 - 2x - 5 = 0 ⇕ 1x^2+( - 2)x+( - 5)=0 We see that a= 1, b= - 2, and c= - 5. Let's substitute these values into the Quadratic Formula.

x=- b±sqrt(b^2-4ac)/2a

SubstituteValues

Substitute values

x=- ( -2)±sqrt(( - 2)^2-4( 1)( - 5))/2( 1)

▼

Solve for x and Simplify

NegNeg

- (- a)=a

x=2±sqrt((- 2)^2-4(1)(- 5))/2(1)

CalcPow

Calculate power

x=2±sqrt(4-4(1)(- 5))/2(1)