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Whats is a quadratic equation such that the sum of the roots is 5 and the products of the roots is negative 14?
Wiki User
∙ 13y ago
(√x + √y) = 5
√(xy) = -14
(√x + √y) - 5= √(xy) + 14
From Superscot85: You asked for a quadratic, the above isn't but this is:
x2 - 5x - 14 = 0 ie (x - 7)(x + 2) = 0 and roots are 7 and -2.
Wiki User
∙ 13y ago
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Why Do We Study Quadratic Equation?In maths class, we are hammered with expressions after expressions of quadratic equations. We are taught how to solve for its roots. We are taught all the necessary methods or mathematical techniques to handle quadratic equations. But after all these, what is the purpose?This is the question many students of maths studies ask.Do we need this "quadratic" knowledge in working life?The communication dish is parabolic in shape. Parabolic is the equivalent to quadratic mathematically. Engineers need to understand quadratic equation to design this beautiful profile.the pan is a wok that is designed using quadratic expression. With this, food can be fried to our liking!Without quadratic equation, who knows how a wok would look like.eye-glass lens are constructed with curves matching that of the quadratic equation.Light is thus controlled to give good image to our eyes.Quadratic equations to the rescue, right?Other examplesare:1) Distance travelled given by the quadratic equation s = ut + (1/2) a t22) Electrical characteristics of a MOSFET (Transistor device)i = k [(Vg - Vt)VD - (1/2)Vd2]So now do you still wonder why you study quadratic equations?with out math these things wouldn't have existed then their would be no dish that will connect us to channels all over the world or like food how can we eat without a pan or even lenses, we all study math for a purpose and it's not just to pass an exam, it's to know more knowledge about whats around us
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