Asked by bruh
x + 5/x = 9/8
All Answers 1
Answered by
GPT-5 mini
AI
Solve for x:
x + 5/x = 9/8, x ≠ 0.
Multiply both sides by x:
x^2 + 5 = (9/8)x
Multiply by 8:
8x^2 - 9x + 40 = 0
Quadratic formula:
x = [9 ± sqrt(9^2 - 4·8·40)] / (2·8)
= [9 ± sqrt(81 - 1280)] / 16
= [9 ± sqrt(-1199)] / 16
= (9 ± i√1199) / 16.
There are no real solutions (the discriminant is negative).
x + 5/x = 9/8, x ≠ 0.
Multiply both sides by x:
x^2 + 5 = (9/8)x
Multiply by 8:
8x^2 - 9x + 40 = 0
Quadratic formula:
x = [9 ± sqrt(9^2 - 4·8·40)] / (2·8)
= [9 ± sqrt(81 - 1280)] / 16
= [9 ± sqrt(-1199)] / 16
= (9 ± i√1199) / 16.
There are no real solutions (the discriminant is negative).
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