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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 46 Page 138

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

- 3.7, 0.2

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. - 2x^2 - 7x = - 1.5 ⇕ - 2x^2 - 7x + 1.5 = 0 Now, we can identify the values of a, b, and c. - 2x^2 - 7x + 1.5 = 0 ⇕ - 2x^2+( - 7)x+ 1.5=0 We see that a= - 2, b= - 7, and c= 1.5. Let's substitute these values into the Quadratic Formula.

x=- b±sqrt(b^2-4ac)/2a

SubstituteValues

Substitute values

x=- ( -7)±sqrt(( - 7)^2-4( -2)( 1.5))/2( - 2)

▼

Solve for x and Simplify

NegNeg

- (- a)=a

x=7±sqrt((- 7)^2-4(-2)(1.5))/2(- 2)

CalcPow

Calculate power

x=7±sqrt(49-4(-2)(1.5))/2(- 2)