Question

The equation x2 − 9 = 0 has real solution(s).
Answer is 2

Answer 1

Solving for x gives you the answers

x=3 and x=-3

Hope this helps!

Answer 2

The given equation has 2 real solutions.

Explanation:

If a quadratic equation is in the form of ax²+ bx + c = 0

The the roots of this equation will be real if (b²- 4ac) > 0

Now we have been given an equation x²- 9 = 0

This equation can be written as 1.x² + 0.x + (-9) = 0

Here a = 1

b = 0

and c = -9

Now we will calculate the value of (b² - 4ac)

(b² - 4ac) = 0 - (4)(1)(-9)

= 36 > 0

Therefore, The solution of the given equation will be 2 and real.

Now we factorize it to check the answer.

x² - 9 = 0

(x - 3)(x + 3) = 0

x -3 = 0

x = 3

Or (x + 3) = 0

x = -3

Therefore, equation has 2 real so;utions.