Find the area of the region bounded by the graphs of the given equations. y=4x+5y=x^2

Isa Trevino

Isa Trevino

Answered question

2021-09-05

Find the area of the region bounded by the graphs of the given equations
y=4x+5

y=x2

Answer & Explanation

Liyana Mansell

Liyana Mansell

Skilled2021-09-06Added 97 answers

Given curves are,
y=4x+5

y=x2

Step 2

By equating the curves and finding the intersection point

4x+5=x2

x24x5=0

fixing the quadratic equation above

x1=5

x2=1

Substitute value of x=5 in given curve

y=4x+5

y=4(5)+5

y=25

Putting value of x=1,

y=4x+5

y=4(1)+5

y=1

Thus, the intersection points are (1,1) and (5,25).

Jeffrey Jordon

Jeffrey Jordon

Expert2021-10-14Added 2605 answers

Answer is given below (on video)

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