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Foundationshard
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The Cauchy-Schwarz inequality states (a2+b2)(c2+d2)≥(ac+bd)2(a^2+b^2)(c^2+d^2) \geq (ac+bd)^2(a2+b2)(c2+d2)≥(ac+bd)2. Use it to find the minimum of a2+b2a^2+b^2a2+b2 given 3a+4b=253a+4b=253a+4b=25.