How do you solve this type of problem, what would be the procedure? Assume PQRS is a parallelogram, if PQ=x2−10 and SR=3x , find all possible values of x.

Step-by-step explanation:

Given

Shape: Parallelogram PQRS

Required

Find all possible values of x

Every parallelogram have parallel and equal opposite sides;

From the given parameters, one can easily deduce that PQ and SR are opposite sides;

This implies that

Substitute values of PQ and SR

Subtract 3x from both sides

Rearrange

Now, we have a quadratic equation;

Expand the above expression

Factorize

  or    

Solve for x in both cases

or

But x can't be negative;

So, the possible value of x is

step-by-step explanation:

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step-by-step explanation:

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