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Eduardwww [97]
3 years ago
14

For what values of h does the equation have real solutions. √(3x-h)= x+3

Mathematics
1 answer:
Andru [333]3 years ago
4 0

Square both side to get

3x-h = (x+3)^2

distribute the squared

3x - h = x^2 + 6x + 9

subtract 3x from both sides

-h = x^2 + 3x + 9

The answer will only have real solutions if the right side is factorable

h= -19, and 2.25 are both values that would make the right side factorable


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Answer:

0.875

Step-by-step explanation:

look at the fraction as a division problem

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8 0
2 years ago
1) write a system on equations with the solution (2, -3). Work the problem out using the substitution method
solmaris [256]

The system of the equations that have the solution of (2, -3) are given below.

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<h3>What is the linear system?</h3>

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

Write a system of equations with the solution (2, -3).

From a single point, an infinite number of lines pass through this point.

Let one line is passing through the origin. Then the equation of the line will be

\rm y  = \dfrac{-3}{2} (x)\\\\y = -1.5x

And the other line is perpendicular to the line which is passing through the origin and a point (2, -3).

\rm y = \dfrac{2}{3} x + c

Then this line also passes through a point (2, -3). Then the value of c will be

\rm -3 = \dfrac{2}{3} \times 2 + c\\\\c \ \  = -13

Then the equation of the line will be

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More about the linear system link is given below.

brainly.com/question/20379472

#SPJ4

8 0
1 year ago
Instructions: Rewrite the equation in proper Standard Form.
pochemuha
Standard form: x-3y=-12
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