exam Maths Puzzle Numerical Ability

-3x^2+7x=-5 solve by completing the square. then write in vertex form

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exam Other Question

The reciprocal of a number plus the reciprocal of twice the number equals 3/10. Find the number. verify the identity

sin(a+B)sin(a-B)= cos^2B-cos^2a

Don't know how to make the correct symbols...sorry.