Question

Solve for x using the quadratic formula. Write your
answer correct to two significant figures.
(x - 1)2 – 3x + 4 = 0.
​

Answer 1

Step-by-step explanation:

(x-1)2-3x+4=0

2x-2-3x+4=0

2x-3x-2+4=0

-1x+2=0

-1x=-2

x=-2÷-1

x=2

Answer 2

Step-by-step explanation:

(x-1) ²-3x+4 =0

x²-2x+1-3x+4 =0

x²-5x+5=0

that is,

x = [-(-5)+√{(5)²-(4×1×5)}]/(2×1)

= [5+√{25-20}]/2

= (5+√5)/2

nor,

x = [-(-5)-√{(5)²-(4×1×5)}]/(2×1)

= [5-√{25-20}]/2

= [5-√5]/2

such that, x = (5+√5)/2 , (5-√5)/2