exam Maths Puzzle Numerical Ability

A^2 = x ------ (1)
4A^2= x+147 ------ (2)
(2)-(1) implies 147=3A^2 implies A^2=49 implies A=7 i.e,length of the sides = 7 cms

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Can someone please help with this?

Find the x-intercepts

y = x^2 + 5x + 2

Thank you so much!
Explain how you could prove that the quadrilateral is of that type.