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Vsevolod [243]
3 years ago
9

Consider the equation y=sqrtx and y=x^2-1

Mathematics
2 answers:
Ghella [55]3 years ago
7 0
The correct answer is 1.5,1.2
the x value should be positive because it's under the sqrt.
the y value is also positive from the first equation.
77julia77 [94]3 years ago
3 0

Answer:

(1.5 , 1.2)

Step-by-step explanation:

we are given system of equation as

y=\sqrt{x}

y=x^2-1

we can set them equal

and then we can solve for x

y=x^2-1=\sqrt{x}

we can take square both sides

\left(x^2-1\right)^2=\left(\sqrt{x}\right)^2

now, we can simplify it

x^4-2x^2+1=x

x^4-2x^2-x+1=0

now, we can draw graph and find x-intercept

so, x-intercepts are

(0.525,0)

(1.49,0)

now, we can find y-value

At x=1.49

y=1.49^2-1

y=1.2

So, point is (1.49 , 1.2)

or

(1.5 , 1.2)

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