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If p=(105)^+2×105×5+(5)^and Q=(115)^-2×115×15 +(15)^then the p+q is?
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If p=(105)^+2×105×5+(5)^and Q=(115)^-2×115×15 +(15)^then the p+q is?
Understanding p and Q
To solve for p and Q, let's first break down each expression.
Calculating p
- Given: p = (105)^+2 × 105 × 5 + (5)^
- Breaking it down:
- (105)^+2 = 105 × 105 = 11025
- Therefore, p = 11025 × 105 × 5 + 5
- Calculate: 11025 × 105 = 1157625
- Now, p = 1157625 × 5 + 5 = 5788125 + 5 = 5788130
Calculating Q
- Given: Q = (115)^-2 × 115 × 15 + (15)^
- Breaking it down:
- (115)^-2 = 1 / (115 × 115) = 1 / 13225
- Therefore, Q = (1/13225) × 115 × 15 + 15
- Calculate: (1/13225) × 115 = 0.008683
- Now, Q = 0.008683 × 15 + 15 = 0.130245 + 15 = 15.130245
Finding p + Q
- Now, we will sum p and Q:
- p + Q = 5788130 + 15.130245 = 5788145.130245
Final Result
- Thus, the value of p + Q is approximately 5788145.13.
This step-by-step breakdown allows us to clearly see how we derived the final result.
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If p=(105)^+2×105×5+(5)^and Q=(115)^-2×115×15 +(15)^then the p+q is?
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