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P.o.t.W. #25

■ No GDC ■for HL studentsGiven \(a + b = 1\) and \({a^4} + {b^4} = 7\) for \(a,b \in \mathbb{R}\), find the value of \({a^2} + {b^2}\) and the value of \({a^3} + {b^3}\).Hint: Begin by letting \(P = {a^2} + {b^2}\) and \(Q = ab\), and solve for \(P\) and \(Q\).PDF: P.o.t.W. #25

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