Explain, how did we split the number in the equation.
How to prove?
Class 10th, Statistics, Rd sharma, Mathematics.
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3. In the following, determine the set of values of k for which the given quadratic equation has real roots: (i) 2×2 + 3x + k = 0
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(i) 2x2 + 3x + k = 0
Solution:
Given,
2x2 + 3x + k = 0
It’s of the form of ax2 + bx + c = 0
Where, a = 2, b = 3, c = k
For the given quadratic equation to have real roots D = b2– 4ac ≥ 0
D = 9 – 4(2)(k) ≥ 0
⇒ 9 – 8k ≥ 0
⇒ k ≤ 9/8
The value of k should not exceed 9/8 to have real roots.