If x=k,be a solution of quadratic equation X2+4x+3=0 ,then k=
a)2
b)-3
c)3
d)-2
Answers
Answered by
4
Answer:
k = ( -3 )
STEP BY STEP EXPLANATION:
( x +3 ) ( x +1 ) = 0
x = ( -3 ) , ( -1 )
CHECK -3 :
(-3)^2 + 4 * -3 + 3 = 0
9 + (-12) + 3 = 0
Therefore LHS = RHS
Therefore , k = -3
Answered by
36
★GIVEN★
If x=k,be a solution of quadratic equation X2+4x+3=0.
★To Find★
The value of k.
★SOLUTION★
x = k (given)
According to the question,
=> x^2 + 4x + 3 = 0
Putting k in place lf x,
=> k^2 + 4k + 3 = 0
Splitting the middle term,
=> k^2 + k + 3k + 3 = 0
=> k(k+1) + 3(k+1) = 0
=> (k + 3) (k + 1) = 0
=> k + 3 = 0
=> k = -3
or,
=> k + 1 = 0
=> k = -1
Therefore,
Value of k is -3 or -1.
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