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Solve x^3+2x^2+x=0

Solve x 3 + 2x 2 + x = 0Factorise to get:x(x 2 + 2x + 1) = 0x = 0 or x 2 + 2x + 1 = 0Factorise x 2 + 2x + 1 to get:(x + 1)(x + 1) = 0Solve for x: x = -1, x = -1, x = 0
JG
Answered by Joshua G. • Maths tutor
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Solve these two equations simultaneously: 7x + y = 1 and 2x^2 - y = 3.

Equation 1: 2x 2 - y = 3 and Equation 2: 7x + y = 1. Rearrange equation 1 to make y the subject: 2x 2 - y = 3, 2x 2 - 3 = y. Substitute equation 1 into equation 2 to get equation 3: 7x + (2x 2 - 3) = 1, 7x +...
DD
Answered by Darcie D. • Maths tutor
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Integrate, with respect to x, xCos3x

Integration by parts: u = x u' = 1v' = Cos3x v = (Sin3x)/3 + c So, ∫xCos3x= (XSin3x)/3 - ∫(Sin3x)/3 dx= (XSin3x)/3 - 1/3( - (Cos3x)/3) + c = (XSin3x)/3 + (Cos3x)/9 + c
Answered by • Maths tutor
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The maximum capacity of a glass box is 1900cm^3. A cylindrical cup of radius 4cm and height 10cm is filled to the top with water. The water is then poured into the rectangular container. How many full cups are needed to fill the box with water completely?

First, draw a diagram of the information given, making sure to label any capacities and dimensions. Now read the question again and find what it’s asking for, which is how many full cylindrical cups can fill...
WA
Answered by Waliyyah A. • Maths tutor
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There is a quarter circle with radius 8cm, what is the area of the quarter circle. The answer should be given in terms of pi, units are cm^2.

The area of a circle is given by the equation: A = pi r 2 where r is the radiusThis means the area of the quarter circle is just 1/4 th the area of the total circle.Therefore the area of the quarter circle i...
SC
Answered by Shrey C. • Maths tutor
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