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The first step would be to expand the second equation:(x-p)^2+qx^2-px-px+p^2+qthis simplifies to x^2-2px+p^2+qAfter this you examine the two equations and identify their similariti...
4^x = (2*2)^x =2^x * 2^x = y^2
(2x+1)2 < 9(x-2)24x2+4x+1 < 9(x2-4x+4)4x2+4x+1 < 9x2-36x+360 < 5x2-40x+35Apply quadratic equation solving formula (...
In order to find the gradient of a tangent to the curve C we must differentiate our equation for C.dy/dx= 9x2-11To find the gradient of a tangent at a specific point P we substitute the coordin...
2[(x^2+8x-12) [Explain basic complete the square technique]2[(x+4)^2 -16 -12]2[(x+4)^2-28]2(x+4)^2-56The term (x+4)^2 is always greater or equal to 0. So the smallest value it can have is 0. So the minimu...
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