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Bipina Poudel Mathematics

Point satisfies the linear quadratic system

Question

which point satisfies the linear quadratic system y=x+3 and y=5-x^2 ?

Options
Option A

(-1,2)

Option B

(2,1)

Option C

(-2,1)

Option D

(4,-1)

Correct Option

Option A

Explanation

On solving both,
x+3=5−x2
⇒x2+x−2=0
⇒x2+2x−x−2=0
⇒x(x+2)x−1(x+2)=0
⇒(x+2)(x−1)=0
⇒x=−2,1
When, x=−2,y=−2+3=1, point is (-2,1)
When, x=1,y=1+3=4, point is (1,4)

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