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Chapter 9: Q.484. (page 985)

Find the xand y-intercepts.

y=x2-4x+10

Short Answer

Expert verified

No x-intercepts.

They-intercepts is0,10.

Step by step solution

01

Step 1. Given information.

The given equation isy=x2-4x+10.

02

Step 2. Determine the x-intercepts.

Substitute y=0in the given equation.

y=x2-4x+100=x2-4x+10

Find the value of the discriminant to predict the nature of the solution.

b2-4ac=-42-4脳1脳20鈰�鈰�b=-4,a=1,c=10=16-40=-26<0

From the above result the equation has no real solution.

Hence, nox-intercepts.

03

Step 3. Determine the y-intercepts.

Substitute x=0in the given equation.

y=02-4脳0+10=10

Hence, the requiredy-intercepts is0,10.

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