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Thepotemich [5.8K]
2 years ago
12

Find the approximate solution of this system of equations. y=x^2+5x+3 y=square root2x+5

Mathematics
2 answers:
Anni [7]2 years ago
6 0
We have that
y=x²<span>+5x+3
y=</span>√(<span>2x+5)

using a graph tool
see the attached figure

the solution is 
x=-0.175
y=2.156

therefore

the answer is the option
</span>B.) (-0.2, 2.1)

Alexxandr [17]2 years ago
4 0

Answer:

x=-1.216 and x= -0.175

Step-by-step explanation:

Given is a system of equations in x. One quadratic and other square root.

1) y=x^2+5x+3

2) y=\sqrt{2x+5}

Subtracting 2 from 1 we get

x^2+5x+3=\sqrt{2x+5}

Square both the sides

x^4+25x^2+9+10x^3+30x+6x^2 =2x+5\\x^4+10x^3+31x^2+28x+4=0

We find that there are only two real roots and they are approximately

x=-1.216 and x= -0.175

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