Question

What are the solution(s) to the quadratic equation x2- 25= 0

A. x=5 and x=-5
B. x=25 and x= -25
C. x= 125 and x= -125
D. no real solution

Answer 1

Answer - (A) x=5 and x=-5

Answer 2

Answer: The correct option is A and the solutions of the given equation are x = 5 and x = -5.

Explanation:

The given equation is,

$x^2-25=0$

Use perfect square method we get,

$x^2-5^2=0$

Now use the formula,

$a^2-b^2=(a-b)(a+b)$

$(x-5)(x+5)=0$

Use zero product property and equate each factor equal to 0.

$x-5=0\\x=5$

$x+5=0\\x=-5$

Therefore, the solutions of the given quadratic equation are x = 5, x = -5 and the correct option is A.