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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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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 simultaneous equations xy=2 and y=3x+5.

x=1/3 and y=6 or x=-2 and y=-1
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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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An object's displacement, s metres, from a fixed point after t seconds is s=5t^3+t^2. Find expressions for the object's velocity and acceleration at time t seconds.

Differentiating gives the rate of change and velocity and acceleration are rates of change. Velocity is the rate of change of displacement compared to time and acceleration is the rate of change of velocity ...
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Answered by Seeitha S. • Maths tutor
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