Question

solve for x:7^2x-1=1/49​

Answer 1

                  7^2*x+1-(1/49)=0 

Step by step solution :

Step  1  :

1 Simplify —— 49

Equation at the end of step  1  :

1 (((72) • x) + 1) - —— = 0 49

Step  2  :

Equation at the end of step  2  :

1 ((72 • x) + 1) - —— = 0 49

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a fraction from a whole 

Rewrite the whole as a fraction using  49  as the denominator :

49x + 1 (49x + 1) • 49 49x + 1 = ——————— =(49x+1) • 49 - (1) 2401x + 48 —————————————————— = —————————— 49 49

Equation at the end of step  3  :

2401x + 48 —————————— = 0 49

Step  4  :

When a fraction equals zero :

 4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

2401x+48 ———————— • 49 = 0 • 49 49

Now, on the left hand side, the  49  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
   2401x+48  = 0

Solving a Single Variable Equation :

 4.2      Solve  :    2401x+48 = 0 

 Subtract  48  from both sides of the equation : 
                      2401x = -48 
Divide both sides of the equation by 2401:
                     x = -48/2401 = -0.020 

One solution was found :

                   x = -48/2401 = -0.020

—————————————— 1 49