Solve for x:- (x - 5)3 / (x - 6)3 = (x - 4) / (x - 7) - Maths - Simple Equations

Question

Solve for x:-

(x - 5)3 / (x - 6)3 = (x - 4) / (x - 7)

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Neha Sethi · Accepted Answer

Dear student
x-53x-63=x-4x-7⇒x-53x-7=x-63x-4⇒x3-125-15x2+75xx-7=x3-18x2+108x-216x-4⇒x4-22x3+180x2-650x+875=x4-22x3+180x2-648x+864⇒650x-648x=875-864⇒2x=11⇒x=112