72.2k views
0 votes
Find the real zeros
x^4-40x^2+144=0

Find the real zeros x^4-40x^2+144=0-example-1
User Lis
by
6.0k points

1 Answer

4 votes

Answer:

the first choice 2 ; -2 ; 6 :-6

Explanation:

1) method : you can put this values 2 ; -2 ; 6 :-6 you are 0

2) method you can solve this equation

x^4-40x^2+144=0

let : x² = t and t ≥ 0

t² -40t +144 = 0

Δ = b²- 4ac a= 1 b = - 40 c = 144

Δ =(-40)²- 4(1)(144= 1600 -576 = 1024=32²

t1 = (40+32)/2 = 36 = 6²

t1 = (40-32)/2 = 4 = 2²

but : x² = t and t ≥ 0

1)case : x² = 6² x = 6 or x= -6

2() case : x² =2² x = 2 or x= -2

User Leonid Shvechikov
by
6.0k points