Factorize 6^{2x + 1} + 7(6^x) - 5

sunday633

2 months ago

To solve it: 6^x(2) x 6^1 + 7(6^x) -5

let 6^x be Y

So Y^2 x 6^1 + 7Y - 5

6 x Y^2 = 6Y^2

6Y^2 +7Y -5 = 0

Then solve it like quadratic equation

(6Y^2 +10Y)(-3Y-5 )= 0
Remove what is common in both
2Y(3Y+5) -1(3Y+5) = 0
So (2Y -1)(3y+5) = 0
Subtitute Y in the Final equation
(2(6^x -1)(3(6^x + 5)

Oluwabuyikunmi

4 years ago

how is it 6y^x

TheGuru

3 years ago

If 6^x is y
Then 6^2x+1 will be 6y² not 6^x
I know it's a typing error but I just want everyone to understand