Question

Find x, if f (x) = g(x) where f(x) = x4 +2x2 g(x) = 11x2​

Answer 1

Answer:

x=3 or x=-3

Step-by-step explanation:

f(x) = x⁴+2x²

g(x) = 11x²

f(x) =g(x)

x⁴+2x²=11x²

x⁴+2x²-11x²=0

x⁴-9x²=0

as we know,

a²-b²=(a+b)(a-b)

(x²+3x)(x²-3x) = 0

x²+3x=0 or x²-3x=0

x(x+3) =0 or x(x-3)=0

x+3=0 or x-3=0

x=-3 or x=3

x=3 or x=-3

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Answer 2

Answer:

4.5

Step-by-step explanation:

∵ f(x) = 4x + 2 \times 2

g(x) = 11 \times 2

According to Question,

f(x) and g(x) are given equal

f(x) = g(x)

∴ 4x + 2 \times 2 = 11 \times 2

4x + 4 = 22

4x = 18

x = $\frac{18}{4}$

x = 4.5