Find the value of x. if BA=x^2=2x+5

Question

and CA=x^2+3x
. Lines that appear tangent, are tangent.

Circle O with Angle BAC, points B and C are on the circle

Find the value of x. if
and
. Lines that appear tangent, are tangent.

Circle O with Angle BAC, points B and C are on the circle

7.6

5

1

2.4

Answer 1

To find the value of x, we need to set BA equal to CA since they are both tangents to the circle and share the same point on the circle (A).

Therefore, x^2 + 2x + 5 = x^2 + 3x
Rearranging this equation, we get:
2x + 5 = 3x
Rearranging further:
5 = x

So, the value of x is 5.