ICSE Class 10 Answered
find the value of x such that 3,x+4 and x+10 form a geometric progression
Asked by suneelmsc | 25 Apr, 2020, 07:27: PM
Expert Answer
We know that, If a, b and c are in geometric progression.
→ b2 = ac
Here, a = 3, b = x + 4 and c = x + 10
→ (x + 4)2 = 3(x + 10)
→ x2 + 8x + 16 = 3x + 30
→ x2 + 5x -14 = 0
→ x2 + 7x - 2x -14 = 0
→ x(x + 7) - 2(x + 7) = 0
→ (x + 7)(x - 2) = 0
→ x = -7 or x = 2
Answered by Yasmeen Khan | 25 Apr, 2020, 07:43: PM
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