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In this question we are trying to find all the possible solutions of the variable x that will satisfy the given equation. Firstly, we see there is a denominator on one of the terms so we multiply all the ...

x²+6x+5=(x+5)*(x+1)=0 therefore x+5=0 or x+1=0, hence x=-5 and x=-1

Integrate y=x^2 which is 1/3 x^3 Subsitute the limits, (1/3 (3)^3)-(1/3 (1)^3) 27/3 - 1/3 = 26/3

As why is in the for y=uv where u and v are funtions of x, dy/dx=u'v+v'u (where ' implies the derivative) u=(3x+1)², v=cos(3x) therefore using the chain rule u'=23(3x+1)=18x+6 and v'=-...

x² - 10x + 33 ≡ (x - a)² + b Work out the value of a and b. Our aim here is to write the expression on the left in the same form as the one on the...