Find two numbers whose sum is 24 and product is 143
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☆☞SOLUTION..
Let the two numbers be P and Q.
According to given question,
Sum of two numbers = 24
∴ P + Q = 24 ...................... (1)
Product of two numbers = 143
and, PQ = 143 .......................... (2)
As we know the formula,
∴ P 2 + Q2 = (P + Q)2 – 2PQ
Put the value from the equation (1) and (2), We will get
∴ P 2 + Q2 = (24)2 – 2 × 143
∴ P 2 + Q2 = 576 – 286 = 290..
Step-by-step explanation:
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