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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Solve each of the following equations: x² - x + 2 = 0
The given quadratic equation is x² - x + 2 = 0
On comparing the given equation with ax² + bx + c = 0,
We obtain a = 1, b = - 1, and c = 2
Therefore, the discriminant of the given equation is
D = b² - 4ac
= (- 1)² - 4 x 1 x 2
= - 7
Hence, the required solutions are
(- b ± √D)/2a = (- (- 1) ± √- 7)/(2 x 1)
= (1 ± i√7)/2 [∵ √- 1 = i]
NCERT Solutions Class 11 Maths Chapter 5 Exercise 5.3 Question 6
Solve each of the following equations: x² - x + 2 = 0
Summary:
A complex equation x² - x + 2 = 0 is given. We have found that the solutions of the equation are (1 ± i√7)/2
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