Respuesta :
49x^2 - 9 = 0
As there is no x term, we can pretty much guess we have a situation where we factlrise by something known aa difference of two squares, so to factorise it:
49 = 7^2
9 = 3^2
x^2 = (x)^2
so...
(7x - 3)(7x + 3) = 0
7x - 3 = 0 7x + 3 = 0
x = 3/7 x = -3/7
As there is no x term, we can pretty much guess we have a situation where we factlrise by something known aa difference of two squares, so to factorise it:
49 = 7^2
9 = 3^2
x^2 = (x)^2
so...
(7x - 3)(7x + 3) = 0
7x - 3 = 0 7x + 3 = 0
x = 3/7 x = -3/7
The solution of the quadratic equation 49x^2=9 will be equal to
(7x+3)(7x-3)
What is a quadratic equation?
A Quadratic equation is a polynomial with a degree of two with one variable and gives two solutions.
It is given that:
[tex]49x^2=9[/tex]
By arranging the equation will become.
[tex]49x^2-9=0[/tex]
[tex](7x)^2-9=0[/tex]
[tex](7x)^2-3^2=0[/tex]
From the formula
[tex]a^2-b^2=(a+b)(a-b)[/tex]
Now the equation will be
[tex](7x)^2-3^2=(7x+3)(7x-3)[/tex]
Hence the solution of the quadratic equation 49x^2=9 will be equal to
(7x+3)(7x-3)
To know more about quadratic equations follow
https://brainly.com/question/1214333