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Pearson Algebra 2 Common Core, 2011 View details

Chapter Review

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Exercise 27 Page 349

How can we use the Quadratic Formula to factor this equation?

2± isqrt(2)/2

Practice makes perfect

To solve the given equation by factoring, we will start by writing all the terms on the left-hand side as a polynomial in standard form. Then, we will apply the Quadratic Formula to solve the equation.

2x^2+3=4x

SubEqn

LHS-4x=RHS-4x

2x^2+3-4x=0

CommutativePropAdd

Commutative Property of Addition

2x^2-4x+3=0

Factoring using the Quadratic Formula

We will use the Quadratic Formula to find the factors. To do so, we will need to identify the values of a, b, and c. 2x^2 -4x+ 3=0 We can see above that a= 2, b= -4, and c= 3. Finally, we will substitute these values into the Quadratic Formula.

x=- b±sqrt(b^2-4ac)/2a

SubstituteValues

Substitute values

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

▼

Solve for x and Simplify

NegNeg

- (- a)=a

x=4±sqrt((-4)^2-4(2)(3))/2(2)

CalcPow

Calculate power

x=4±sqrt(16-4(2)(3))/2(2)