Show that the statement, p: if a is a real number such that a^3 + 4a =0, then a is 0″, is true by direct method?
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Show that the statement, p: if a is a real number such that a^3 + 4a =0, then a is 0″, is true by direct method?
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➡️Let q and r are the statements given by q: a is a real number such that a^3 + 4a =0
➡️r: a is 0.
➡️let q be true then
➡️a is a real number such that a^3 + 4a =0
➡️a is a real number such that a(a^2 + 4) =0
➡️a = 0
➡️r is true
➡️So, q is true and r is true, so p is true.
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SOLUTION:-
⭐ GIVEN ⭐
✏️Let q and r are the statements given by q: a is a real number such that a^3 + 4a =0
✏️r: a is 0.
✏️let q be true then
✏️a is a real number such that
a^3 + 4a =0
✏️a is a real number such that
a(a^2 + 4) =0
✏️a = 0
✏️r is true
➡️So, q is true and r is true, so p is true.✔✔
Step-by-step explanation:
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