Question

15*2(х+1)+15*2(2-х)=135

Answer 1

30*2^x+60/2^x-135=0
30*2^2x-135*2^x+60=0
2*2^2x-9*2^x+4=0
2^x=a
2a^2-9a+4=0
D=81-32=49
a1=(9-7)/4=1/2 —>2^x=1/2—>x=-1
a2=(9+7)/4=4—>2^x=4—>x=2

Answer 2

To solve the equation, let's simplify and solve step by step:

Given equation: 152(x+1) + 152(2-x) = 135

Step 1: Simplify the terms within the parentheses: 30(x+1) + 30(2-x) = 135

Step 2: Distribute the numbers outside the parentheses: 30x + 30 + 60 - 30x = 135

Step 3: Combine like terms: 30x - 30x + 30 + 60 = 135

Step 4: Further simplify: 90 = 135

Step 5: Check the result: The equation is inconsistent since the equation simplifies to 90 ≠ 135. There must be an error in the original equation or a mistake made during the simplification process. Please double-check the equation and ensure that it is accurate before proceeding with the solution.