If two is the root of the quality equation 3X square plus BX -8 is equal to 0 and the quality equation 4X square minus2PX plus K is equal to 0 has equal roots find the value of K
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The numbers are divisible by *
3 points
2 5 9 3
756
105
560
756
105
560
Answered by
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If 2 is a root of the quadratic equation 3x
2
+ px - 8 = 0 and the quadratic equation 4x
2
- 2px + k = 0 has equal roots, The value of k is------.
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Correct option is
A
1
⇒ 3x
2
+px−8=0
Substitute x=2, since 2 is root of equation
⇒ 3(2)
2
+p(2)−8=0
⇒ 12+2p−8=0
⇒ 4+2p=0
∴ p=−2
⇒ 4x
2
−2px+k=0
⇒ 4x
2
−2(−2)x+k=0 [ Since, p=−2 ]
⇒ 4x
2
+4x+k=0
⇒ Here, a=4,b=4,c=k
⇒ It is given that roots are equal.
∴ b
2
−4ac=0
⇒ (4)
2
−4(4)(k)=0
⇒ 16−16k=0
⇒ 16k=16
∴ k=1
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