Question

How do you find the value of the discriminant and determine the nature of the roots `x^2 – 64 = 0`?

Answer 1

`color(brown)( D > 0) color(green)(" (+VE), given equation has " color(blue)("TWO REAL ROOTS " (+-8)`

Explanation:

`x^2 - 64 = 0`

It is in the form `ax^2 + bx + c = 0, " with "a = 1, b = 0, c = -64`

`"Discriminant " D = b^2 - 4 a c = 0 - (4 * 1 * -64) = 256`

Since `color(brown)( D > 0) color(green)(" (+VE), given equation has " color(blue)("TWO REAL ROOTS " (+-8)`