High School

How many real solutions does the equation have?

[tex]\[ 6h^2 + 94 = 94 \][/tex]

A. No real solution
B. One real solution
C. Two real solutions

Answer :

We start with the equation
[tex]$$6h^2 + 94 = 94.$$[/tex]

Step 1. Subtract 94 from both sides:
Subtracting 94 gives
[tex]$$6h^2 = 94 - 94 = 0.$$[/tex]

Step 2. Divide both sides by 6:
Dividing by 6, we obtain
[tex]$$h^2 = \frac{0}{6} = 0.$$[/tex]

Step 3. Solve for [tex]$h$[/tex]:
The equation [tex]$h^2 = 0$[/tex] has a unique solution,
[tex]$$h = 0.$$[/tex]

Thus, there is \textbf{one real solution}.