Solve the equation
-$x ^ { 4 } - 5 x ^ { 2 } + 4 = 0$
A) -5.5
B) -2,-1,1,2
C) -2,2
D) -4.4

Name: Solve the equation -$x ^ { 4 } - 5 x ^ { 2 } + 4 = 0$ A) -5.5 B) -2,-1,1,2 C) -2,2 D) -4.4
Brand: Quizplus
Rating: 4.9 (35 reviews)

Question

Solve the equation
-$x ^ { 4 } - 5 x ^ { 2 } + 4 = 0$
A)  -5.5 
B)  -2,-1,1,2 
C)  -2,2 
D)  -4.4

Quizplus · Accepted Answer

This equation can be solved by substituting $y = x^2$, turning it into a quadratic equation $y^2 - 5y + 4 = 0$. Solving this gives $y = 1$ and $y = 4$. Substituting back $x^2 = 1$ gives $x = \pm1$, and $x^2 = 4$ gives $x = \pm2$. Therefore, the solutions are $x = -2, -1, 1, 2$.

Solve the Equation - x4−5x2+4=0x ^ { 4 } - 5 x ^ { 2 } + 4 = 0x4−5x2+4=0

Solve the Equation
- $x ^ { 4 } - 5 x ^ { 2 } + 4 = 0$