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Find x if distance between points L(x, 7) and M(1, 15) is 10. |
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Answer» Say (x1,y1) = (x,7)(x2,y2) = (1,15)Distance between two points = √[(x2-x1)^2+(y2-y1)^2]10 = √[(1-x)^2+(15-7)^210 = √(1+x^2-2x+64)10 = √(x^2-2x+65)Squring to each side.100 = x^2-2x+65Bring all terms to one side.x^2-2x+65-100 = 0x^2-2x-35 = 0x^2-7x+5x-35 = 0x(x-7)+5(x-7) = 0(x+5)+ (x-7) = 0x+5 = 0 and x-7 = 0x = -5 and x = 7 |
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