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Find the values of k for each of the following quadratic equations, so that they have two equal roots. (i) 2x^ 2 + kx + 3 = 0 Find the values of k for each of the following quadratic equations, so that they have two equal roots. (i) 2x^ 2 + kx + 3 = 0
Dear Student2x^2+kx+ 3 = 0On Comparing the given equation withax^2+bx+c= 0a= 2,b= k andc= 3As we know, Discriminant =b^2- 4ac= (k)^2- 4(2) (3)=k^2- 24For equal roots, we know, Discriminant = 0k^2- 24 = 0k^2= 24k = ±√24= ±2√6Thanks
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