The difference of the square of a number and 28 is equal to three times the number find the negative solution

y=-4

Step-by-step explanation:

To find this

We get,

The difference between the square of the number

Let y be the unknown number

Square of y=y^2

Y^2-28=3y

Then let we are going to rearrange, then we get

y^2-3y-28

We are going to factorise

y^2-7y+4y-28

(y^2-7y+(4y-28)

y(y-7)+4(y-7)=0

(y+4)(y-7)=0

To find the negative number then we have

y=-4

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solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.