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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 25 Page 137

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

0.5, - 1.2

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. 10x^2 = - 7x + 6 ⇕ 10x^2 + 7x - 6 = 0 Now, we can identify the values of a, b, and c. 10x^2 + 7x - 6=0 ⇕ 10x^2+ 7x+( - 6)=0 We see that a= 10, b= 7, and c= - 6. 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( 10)( - 6))/2( 10)

▼

Solve for x and Simplify

CalcPow

Calculate power

x=- 7±sqrt(49-4(10)(- 6))/2(10)

Multiply

x=- 7±sqrt(49-40(- 6))/20

MultNegNegOnePar