Solve the following quadratic equation for x:4x2 – 4a2x + (a4 – b4) = 0

⇒ ⇒ ⇒ ⇒ ⇒ 2x-(a2-b2) = 0 or 2x-(a2 + b2) = 0⇒ or

Q6 of 47 Page 1

Solve the following quadratic equation for x:
4x² – 4a²x + (a⁴ – b⁴) = 0

⇒

⇒ 2x-(a²-b²) = 0 or 2x-(a² + b²) = 0

⇒ or

In Fig. 1, PA and PB are tangents to the circle with center O such that . Write the measure of .

In Fig. 2, AB is the diameter of a circle with center O and AT is a tangent. If ∠AOQ = 58°, find ∠ATQ.

From a point T outside a circle of center O, tangents TP and TQ are drawn to the circle. Prove that OT is the right bisector of line segment PQ.

find the middle term of the A.P. 6, 13, 20, …, 216.