Question

I If x > 0 and x^2-2x-35 = 0, then the value of x^2 is 3​

Answer 1

x^2 = 49

Explanation:

Notice that the polynomial on the left of the equation can be factored out as:

x^2 - 2 x - 35 = (x - 7) (x + 5)

Then the equation: x^2 - 2 x - 35 = = 0

gives two solutions as follows:

(x - 7) (x + 5) = 0 Then either binomial factor must be zero, and therefore, x = 7 or x = -5

Since we are told that x is POSITIVE, the x = 7, and its square is 7^2 = 49.