Answer:
1) 63x²+68x+12=0
2) x⁴-8x²+15=0
3) -5x²-(5/x²)+26=0
Step-by-step explanation:
1)
x=-6/7 and x=-2/9
7x=-6 and 9x=-2
7x+6=0 and 9x+2=0
(7x+6)(9x+2)
63x²+14x+54x+12
63x²+68x+12=0
2)
x=√3 and x=√5
x²=3 and x²=5
x²-3=0 and x²-5=0
(x²-3)(x²-5)
x⁴-5x²-3x²+15
x⁴-8x²+15=0
3)
x=[tex]\sqrt[2]{5}[/tex] and x=[tex]\sqrt[-2]{5}[/tex]
x²=5 and x⁻²=5
x²=5 and (1/x²)=5
x²-5=0 and (1/x²)-5=0
(x²-5)((1/x²)-5)
1-5x²-(5/x²)+25
-5x²-(5/x²)+26=0
