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If A= 32 find the values of m and n given that A² = mA+nA ?

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Final answer:

To find the values of m and n when A = 32, we can substitute the value of A into the equation A² = mA + nA and solve for m and n. The values of m and n are m = 32 - n and n = 32 - m.

Step-by-step explanation:

To find the values of m and n, we are given that A = 32 and A² = mA + nA. We can substitute the value of A into the equation and solve for m and n.

A² = mA + nA

(32)² = m(32) + n(32)

1024 = 32m + 32n

We can divide both sides of the equation by 32 to isolate m and n.

32m + 32n = 1024

m + n = 32

Therefore, the values of m and n that satisfy these equations are m = 32 - n and n = 32 - m.

For example, if we let m = 5, then n = 32 - 5 = 27.

User Achraf Ghellach
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