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McGraw Hill Integrated II, 2012 View details

10. Roots and Zeros

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Exercise 21 Page 77

Make sure you write all the terms on the left-hand side of the equation and simplify as much as possible before using the Quadratic Formula.

Roots: x=- 83, x=1
Number and Type of Roots: two real roots

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 We first need to identify the values of a, b, and c. - 3x^2-5x+8=0 ⇕ - 3x^2+( - 5)x+ 8=0 We see that a= - 3, b= - 5, and c= 8. Let's substitute these values into the Quadratic Formula.

x=- b±sqrt(b^2-4ac)/2a

SubstituteValues

Substitute values

x=- ( -5)±sqrt(( - 5)^2-4( - 3)( 8))/2( - 3)

▼

Solve for x and Simplify

NegNeg

- (- a)=a

x=5±sqrt((- 5)^2-4(- 3)(8))/2(- 3)

CalcPow

Calculate power

x=5±sqrt(25-4(- 3)(8))/2(- 3)