Mathematics 2009 JAMB Past Questions - Question 7: Solve 5² (x-1) x 5(x-1) = 0.04

Correct Answer

D

Explanation

Solve 5²⁽ͯ ͯ¯¹⁾ x 5 ͯ⁺ ¹ = 5² ͯ¯ ²⁺ ͯ⁺ ¹ = 5ͯ¯² =3x -1 = -2 = x = -1/3To solve the equation 5²(x-1) * 5(x-1) = 0.04, we can simplify the equation and then solve for x.First, let's simplify the equation:5²(x-1) * 5(x-1) = 0.0425(x-1) * 5(x-1) = 0.04125(x-1)² = 0.04Now, divide both sides of the equation by 125:(x-1)² = 0.04 / 125(x-1)² = 0.00032Next, take the square root of both sides to eliminate the square:√((x-1)²) = √(0.00032)x - 1 = ±√(0.00032)Now, add 1 to both sides of the equation:x = 1 ± √(0.00032)Calculating the square root of 0.00032 gives us approximately 0.0178885.Therefore, the solutions to the equation are:x = 1 + 0.0178885 ≈ 1.0178885x = 1 - 0.0178885 ≈ 0.9821115So, the solutions to the equation 5²(x-1) * 5(x-1) = 0.04 are approximately x = 1.0178885 and x = 0.9821115.