Solve the equation (x^2−9)^2−2(x^2−9)−35=0

Ethen Wong

Ethen Wong

Answered question

2022-01-24

Solve the equation
(x29)22(x29)35=0

Answer & Explanation

Telering3b

Telering3b

Beginner2022-01-25Added 11 answers

Given
(x29)22(x29)35=0
x4+8118x22x2+1835=0
x420x2+64=0
Let t=x, thus,
t220t+64=0
t2(16+4)t+64=0
t216t4t+64=0
t(t16)4(t16)=0
(t16)(t4)=0
t=16 and t=4
Substitute t=x2
x2=16 and x2=4
Thus, x=±4 and x=±2

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