5. If the distance between two points (x, 7) and (1, 15) is 10, find the value of x.
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Answer:
distance=√(1-x)²+(15-7)²
10=√(1²-2x+x²)+(8)²
10=√(1-2x+x²+64)
10=√x²-2x+65
sq.ing on both sides
100=x²-2x+65
x²-2x+65-100=0
x²-2x-35=0
(x-7)(x+5)=0
x=7 or x=-5
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