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The value(s) of k for which quadratic equation 2x² + kx + 2 = 0 has equal roots, is
a)4
b)+- 4
c)-4
d)0
kindly explain the solution?
Most Upvoted Answer
The value(s) of k for which quadratic equation 2x² + kx + 2 = 0 has eq...
Understanding Equal Roots in Quadratic Equations
In a quadratic equation of the form ax² + bx + c = 0, equal roots occur when the discriminant (D) is zero. The discriminant is calculated using the formula:
D = b² - 4ac
For the given quadratic equation:
2x² + kx + 2 = 0
Here, a = 2, b = k, and c = 2.
Step 1: Set Up the Discriminant
To find the value of k for which the roots are equal, we set the discriminant to zero:
D = k² - 4(2)(2) = 0
This simplifies to:
k² - 16 = 0
Step 2: Solving for k
Now, we solve the equation:
k² = 16
Taking the square root of both sides:
k = ±4
Conclusion
Thus, the values of k for which the quadratic equation has equal roots are:
  • k = 4
  • k = -4

Therefore, the correct options are a) 4 and b) ±4.
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The value(s) of k for which quadratic equation 2x² + kx + 2 = 0 has equal roots, isa)4b)+- 4c)-4d)0kindly explain the solution?
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