A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Which of the following is the correct factored form of the given equation? 4x2 - 25 = 0
4x2 - 25 = 0
(4x - 5)(x + 5) = 0
(2x - 5)(2x + 5) = 0
2(x - 5)2 = 0
Solution:
It is given that
4x2 - 25 = 0
In order to factorize it, we can make use of the algebraic identity
a2 - b2 = (a + b) (a - b) is the difference of squares.
We know that
(4x)2 can be written as (2x)2
25 can be written as 52
Substituting it in the algebraic identity
(2x)2 - 52 = (2x + 5) (2x - 5)
So the factored form is (2x + 5) (2x - 5).
Therefore, the factored form of the given equation is (2x + 5) (2x - 5).
Which of the following is the correct factored form of the given equation? 4x2 - 25 = 0
4x2 - 25 = 0
(4x - 5)(x + 5) = 0
(2x - 5)(2x + 5) = 0
2(x - 5)2 = 0
Summary:
The correct factored form of the given equation 4x2 - 25 = 0 is (2x + 5) (2x - 5).
Math worksheets and
visual curriculum
visual curriculum