Question

solve each equation - only type the positive (principal) solution (one of your answers is a fraction): show your work please!!!!!!!!!!!!!!! $36n^{2}-10 = 134$ n = $36x^{2}-6 = 75$ x = the product of
\ and \x\ =

Explanation:

Step1: Isolate the squared term (n)

Add 10 to both sides.
$36n^2 = 134 + 10$
$36n^2 = 144$

Step2: Solve for $n^2$

Divide by 36 on both sides.
$n^2 = \frac{144}{36}$
$n^2 = 4$

Step3: Take positive square root

$n = \sqrt{4}$
$n = 2$

Step4: Isolate the squared term (x)

Add 6 to both sides.
$36x^2 = 75 + 6$
$36x^2 = 81$

Step5: Solve for $x^2$

Divide by 36 on both sides.
$x^2 = \frac{81}{36}$
$x^2 = \frac{9}{4}$

Step6: Take positive square root

$x = \sqrt{\frac{9}{4}}$
$x = \frac{3}{2}$

Step7: Calculate product of n and x

Multiply the positive solutions.
$n \times x = 2 \times \frac{3}{2}$

Answer:

$n = 2$
$x = \frac{3}{2}$
The Product of "n" and "x" = $3$