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What value of M does graph Y=3×2+7x+M have 2X-Intercepts?

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WHAT VALUE OF M DOES GRAPH Y

For What Values Of M Does Graph Of Y = 3×2+7x+M Have 2X-Intercepts?

In this article, we explain the solution of “For What Values Of M Does The Graph Of Y = 3×2 + 7x + M Have Two X-Intercepts?”. First of all, we will talk about top websites which give so much information about every solution.
 
We have so many good websites that have so much knowledge about problems. So, let’s have a look!

quora.com

For the x-intercept, put y=0.
the equation becomes, 3×2 +7x +m =0
Now find the discriminant, D=(49 – 4*3*m) >0 (For the roots should be distinct and accurate)
49>12m
or, m<49/12
Thus the value of m lies between (-infinity, 49/12 ).

protonstalk.com

The graph is a parabola with the most petite point. So, Substitute the smallest value in the equation y = 3x^2 + 7x + m. Thus the graph has two x-intercepts. The value at a minor point must be less than 0. The chart is a parabola with the smallest where x= -b/2a = -7/6.i.e
3(49/36) – 49/6 + m < 0
 
49/12 – 49/6 + m < 0
(49-98)/12 + m < 0
-49/12 + m < 0
m < 49/12

wyzant.com

The graph is a parabola with the smallest where x= -b/2a = -7/6. You should sketch it!
To have two x-intercepts, the value at a minor point must be less than 0, i.e.
3(49/36) – 49/6 + m < 0
49/12 – 49/6 + m < 0
(49-98)/12 + m < 0
-49/12 + m < 0
m < 49/12

cuemath.com

Question: For What Values Of M Does The Graph Of Y = 3×2 + 7x + M Have Two X-Intercepts?
Solution: The above equation is a polynomial that, when plotted, looks like a parabola. It is understood that the value of the variable “y” at the point of intersection with the x-axis is “zero” when the parabola crosses the x-axis. As a result, by changing the value of “y” in the following equation to zero, we get:
0 = 3×2 + 7x + m
To factorise the preceding quadratic equation, we must first determine the value of m. The remaining two components of the equation, 3×2 and 7x, may be used to calculate the probable value of “m.” As a result, the proper value of m is “2.” We may factorise the following equation by substituting the value of m.
0 = 3×2 + 7x + 2
0 = (x + 2)(3x + 1)
As no other value of m can factorise the above equation, m = 2 is a unique number. When the equation above is solved, we get two discounts of x when y = 0, x = -2 and x = -1/3. Hence, the equation will have two intercept values for m = 2.
What m values cause the graph of y = 3×2 + 7x + m to have two x-intercepts?
Summary:
The parabola contacts the x-axis twice at (-2, 0) and (-1/3, 0) for m = 2.

gauthmath.com

Question
gauthmath.com
Answer
C
Explanation:
A
Depending on the number of possible solutions:
Rearrange the unknown terms to the left side of the equation as follows:
Lower the most common element that exists on both sides of the inequality:
Divide both sides of the inequality by the variable’s coefficient:
Rewrite this as a fraction:
Get the outcome:
False
True or false?
A
B
C
D

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