Answer:
4 and -4
Step-by-step explanation:
The image shows a mathematical equation which asks for the two possible values of p in the equation given. The equation is: 78 − 3 2 5 = 6 5 78−3p 2 =6 To solve for p, one would follow these steps: Multiply both sides by 5 to eliminate the fraction: 78 − 3 2 = 30 78−3p 2 =30 Subtract 78 from both sides: − 3 2 = 30 − 78 −3p 2 =30−78 Simplify the equation: − 3 2 = − 48 −3p 2 =−48 Divide by -3: 2 = − 48 − 3 p 2 = −3 −48 Simplify the division: 2 = 16 p 2 =16 Take the square root of both sides to solve for p: = ± 16 p=± 16 The two possible values for p are: = 4 and = − 4 p=4 and p=−4