Mathematics: Fiona is completing the square to solve the polynomial equation. x2 – 4x + 1 = 0 what should be her first step? 1. isolating the constant 1 2.adding 4 to both sides of the equation 3. isolating the second term, –4x 4. adding 1 to both sides of the equation

Fiona is completing the square to solve the polynomial

alex43079

10.06.2020

The correct option is 1. Fiona's first step is isolating constant 1.

Explanation:

The given equation is,

x^2-4x+1=0

To solve the polynomial we have to use following steps.

Step 1: Isolate constant term.

x^2-4x=-1

Step 2: Find the value of $\frac{b}{2a}$ .

$\frac{b}{2a}=\frac{-4}{2}=-2$

Step 3: Add (-2)^2 both sides.

x^2-4x+4=-1+4

(x-2)^2=3

$(x-2)=\pm \sqrt{3}$

$x=\pm \sqrt{3}+2$

Therefore, Fiona's first step is isolating constant 1 and the option 1 is correct.

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timozy95

10.01.2023

y = 3x² + 5x + 1

x = -b±√b²-4ac/2a

a = 3, b = 5 c = 1

x = -5±√5²-4(3)(1)/2(3)

x = -5±√25-12/6

x = -5±√13/6

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