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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 2 Page 137

Be careful with the signs when substituting in the Quadratic Formula.

8 and 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 To do so, we first need to identify the values of a, b, and c. x^2-10x+16=0 ⇔ 1x^2+( - 10)x+ 16=0 We see that a= 1, b= - 10, and c= 16. Let's substitute these values into the Quadratic Formula. Be careful with the signs!

x=- b±sqrt(b^2-4ac)/2a

SubstituteValues

Substitute values

x=- ( -10)±sqrt(( - 10)^2-4( 1)( 16))/2( 1)

▼

Solve for x and Simplify

NegNeg

- (- a)=a

x=10±sqrt((- 10)^2-4(1)(16))/2(1)

CalcPow

Calculate power

x=10±sqrt(100-4(1)(16))/2(1)