x2-8x+k is 40 find value of k
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Answer:
when x = 4, k = 56 is one solution.
Step-by-step explanation:
given, x²-8x+k = 40
=> x²-8x+k-40 = 0
take, M=k-40
=> x²-8x+ M = 0
=> x²-2(4)x + 4² = 0 (assume M=4² for a convenient solution)
=> (x-4)²=0
=> x-4 = 0
=> x=4
to arrive at this solution we have taken M = 4² = 16
ie, k-40 = 16 (our assumption)
=> k = 16+40
=> k = 56 when x takes the value of 4
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