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Solve for X Using the Quadratic Formula. Write Your Answer Correct to Two Significant Figures. (X – 1)2 – 3x + 4 = 0 - ICSE Class 10 - Mathematics

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Question

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

Solution

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

`=> x^2 - 2x + 1 - 3x + 4 = 0`

`=> x^2 - 5x + 5 = 0`

Here a =  1,b = -5 and c= 5

`:. x = (-b +- sqrt(b^2 - 4ac))/(2a)`

`= (-(-5) +- sqrt(-5)^2 - 4 xx 1 xx 5)/(2 xx 1)`

`= (5 +- sqrt(25 - 20))/2`

`:.x = (5 + 2.24)/2 or x = (5 - 2.24)/2`

`=> x = (7.24)/2 or x= (2.76)/2`

=> x = 3.6 or x= 1.4

  Is there an error in this question or solution?
Solution Solve for X Using the Quadratic Formula. Write Your Answer Correct to Two Significant Figures. (X – 1)2 – 3x + 4 = 0 Concept: Quadratic Equations.
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