Question
Find the number of real number solutions for the equation.
x^2 - 4x + 4 = 0
x^2 - 4x + 4 = 0
Answers
GPT 3.5
To find the number of real number solutions for the equation, we need to find the discriminant. The discriminant is given by the formula Δ = b^2 - 4ac, where a, b, and c are the coefficients of the quadratic equation ax^2 + bx + c = 0.
In this case, a = 1, b = -4, and c = 4. Plugging these values into the discriminant formula, we have Δ = (-4)^2 - 4(1)(4) = 16 - 16 = 0.
Since the discriminant is equal to zero, there is exactly one real number solution for the equation x^2 - 4x + 4 = 0.
In this case, a = 1, b = -4, and c = 4. Plugging these values into the discriminant formula, we have Δ = (-4)^2 - 4(1)(4) = 16 - 16 = 0.
Since the discriminant is equal to zero, there is exactly one real number solution for the equation x^2 - 4x + 4 = 0.