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Solve the simultaneous equations 3x=2y and 2xy=12

Answer:x=-2, y=-3 or x=2, y=3 Explanation:We can rewrite 2xy=12 as (2y)x=12, and since we know that 2y=3x, we can substitute this in to get the following equation: 3x^2 = 12. Solving this we get that x=2 or ...
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Answered by Scarlett S. • Maths tutor
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Differentiate the following: y = 3x^(1/3) + 2

Answer: dy/dx = x -2/3 Explanation: When differentiating, we bring the power to the front and subtract 1 from the power to get the new power. So the first term becomes (3 x 1/3)x (1/3 - 1) = x -2/3 . Also, a...
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Answered by Scarlett S. • Maths tutor
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Solve the equation x^2 + 3x - 10 = 0

Identify a, b and c based in the GENERAL FORM OF A QUADRATIC EQUATION: ax 2 + bx + c (= 0) ax 2 + bx + c = 0 x 2 + 3x - 10 = 0, so a = 1, b = 3 and c = -10 Rule 1: List factors of c in pairs [Factors of 10 a...
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Answered by Emmanuel A. • Maths tutor
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Solve the equation 2X^2 + 5X + 2 = 0 stating clearly the number of roots

Firstly, we can identify 2X 2 + 5X + 2 = 0 as a quadratic equation by the fact it is an X 2 term, an X term and an integer term all within the same equation, and is equal to zero. To solve a quadratic equati...
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Answered by Luke P. • Maths tutor
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Find the intergral of 2x^5 - 1/4x^3 - 5 with respect to x.

2x 5 - 1/4x 3 - 5 can be intergrated by intergrating each term seperately and then remembering to add a constant to your new answer. Therefore the correct answer would be x 6 /3 + 1/8x 2 - 5x + c. This has b...
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Answered by George H. • Maths tutor
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