1. find the values of k for each of the following quadratic equations. so that they havetwo equal roots. i) 2x(square)+kX+3=0ii) KX (X-2)+6=0 (KO) take 100 points ⚡⚡ About the author Ivy
If 2x 2 +kx+3=0 has equal roots, then b 2 −4ac=0. Here, a=2,b=k,c=3 x 2 +kx+3=0 b 2 −4ac=0 k 2 −4(2)(3)=0 k 2 =24 k=± 24 =±2 6 ii) If kx 2 −2kx+6=0 has equal roots, then b 2 −4ac=0. Here, a=k,b=−2k,c=6 kx(x−2)+6=0 kx 2 −2kx+6=0 4k 2 −4(k)(6)=0 4k 2 −24k=0 4k(k−6)=0 For k=0, equation is not quadratic. k=6 Reply
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If 2x
2
+kx+3=0 has equal roots, then b
2
−4ac=0.
Here, a=2,b=k,c=3
x
2
+kx+3=0
b
2
−4ac=0
k
2
−4(2)(3)=0
k
2
=24
k=±
24
=±2
6
ii)
If kx
2
−2kx+6=0 has equal roots, then b
2
−4ac=0.
Here, a=k,b=−2k,c=6
kx(x−2)+6=0
kx
2
−2kx+6=0
4k
2
−4(k)(6)=0
4k
2
−24k=0
4k(k−6)=0
For k=0, equation is not quadratic.
k=6