Question

solve for j.
72j² = 98
write your answers as integers or as proper or improper fractions in simplest form.
j = or j =

Explanation:

Step1: Isolate \( j^2 \)

Divide both sides of the equation \( 72j^2 = 98 \) by 72.
\( j^2=\frac{98}{72} \)
Simplify the fraction by dividing numerator and denominator by their greatest common divisor, which is 2.
\( j^2=\frac{49}{36} \)

Step2: Solve for \( j \)

Take the square root of both sides. Remember that when taking the square root of a positive number, we get two solutions: positive and negative.
\( j = \pm\sqrt{\frac{49}{36}} \)
Since \( \sqrt{49} = 7 \) and \( \sqrt{36} = 6 \), we have:
\( j=\frac{7}{6} \) or \( j = -\frac{7}{6} \)

Answer:

\( j = \frac{7}{6} \) or \( j = -\frac{7}{6} \)