Question

While solving the expression 2^3 + 2^3 + 2^3 + 2^3, Radha found the answer to be 2^12 but Neha disagreed and said that the answer should be 2^5. Do you agree with Neha? Support your answer with evidence.

Answer 1

Step-by-step explanation:

(1) x − 4 = 3, x =−1, 7,−7

x−4=3⇒x−4+4=3+4⇒x=7

Hence, x = 7 is the solution of the equation.

(2) 9m = 81, m = 3, 9, −3

9m=81Dividing both sides by 9⇒9m9=819⇒m=9

Hence, m = 9 is the solution of the equation.

(3) 2a + 4 = 0, a = 2, −2, 1

2a+4=0⇒2a+4−4=−4⇒2a=−4Dividing both sides by 2⇒2a2=−42⇒a=−2

Hence, a = −2 is the solution of the equation.

(4) 3 − y = 4, y = −1, 1, 2

3−y=4⇒3−y+y=4+y⇒3=4+y⇒3−4=4+y−4⇒−1=y

Hence, y = −1 is the solution of the equation.