6

Set 10: Quadratic Equations

Explanation

Answer: A

Find the intersection of y=x2y = x^2 and y=2x−1y = 2x - 1.

A.

(1,1)(1, 1)

✓ Correct
B.

(1,2)(1, 2)

C.

(−1,−3)(-1, -3)

D.

No intersection

Detailed Explanation

Choice A is correct. Choice A is the correct answer. 1. x2=2x−1x^2 = 2 x - 1. 2. x2−2x+1=0x^2 - 2 x + 1 = 0. 3. (x−1)2=0⇒x=1(x - 1)^2 = 0 \Rightarrow x = 1. 4. Substitute: y=2(1)−1=1y = 2(1) - 1 = 1. 5. Point: (1,1)(1, 1). Choice B is incorrect. Choice C is incorrect. Choice D is incorrect.

Key Steps:

•

The correct answer is (1,1)(1, 1)

Why others are wrong:
B: Choice B is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.
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