7.What is the nature of roots of the following quadratic equation
x^2-3x+2
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Given Equation
⇒x² - 3x + 2 = 0
To find the nature of roots
Now compare with
⇒ax² + bx + c = 0
We get
⇒a = 1 , b = -3 and c = 2
Now we are using
⇒D = b² - 4ac
Put the value on formula
⇒D = (-3)² - 4×1×2
⇒D = 9 - 8
⇒D = 1
Answer
⇒D>0 then equation has real and distinct roots
More information
⇒ If a , b ,c ∈ R and a ≠ 0 , then
i) If D<0 then eq. has non real complex roots
ii) If D>0 then eq has real and distinct root
iii)If D = 0 , then eq. has real and equal roots
iv) If D≥ 0 , then eq. has real root
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Answer:
It is the correct answer.
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