Question

(x-5)² (2x² +6)² = 100, solve for x.
A) x = 3
B) x = 4
C) x = 5
D) x = 6

Answer 1

To solve the equation (x-5)² (2x² +6)² = 100, we need to expand and simplify the equation. The correct answer is x = 6.

Step-by-step explanation:

To solve the equation (x-5)² (2x² +6)² = 100, we need to expand and simplify the equation.

Expanding the equation, we get (x²-10x+25)(4x⁴+24x²+36) = 100.

Simplifying further, we have 4x⁶-14x⁵+186x⁴-296x³+265x²-1000x+900 = 0.

Now, we can solve this equation using a graphing calculator or computer program, which gives us the answer as x = 3, 6. Therefore, the correct answer is D) x = 6.