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Leno4ka [110]
3 years ago
8

At how many points does the graph of the function below intersect the x-axis?

Mathematics
1 answer:
Galina-37 [17]3 years ago
6 0
Y=2x²-3x+1
one way is to find the zeroes
when it intersects the x axis, y=0
so
0=2x²-3x+1
solve for values of x that work
factor
0=(2x-1)(x-1)
set each to 0
we don't need to
we can see we have 2 different points that intersect

answer is A. 2

another way is to use the discriminant
b²-4ac
for ax²+bx+c=y
if the discriminant is
less than 0, then 0 intersections
equal to 0, then 1 intersection
greater than 0, then 2 intersection points

ax²+bx+c
2x²-3x+1
b²-4ac=(-3)²-4(2)(1)=9-8=1,
greater than 0
2 intersection points

answer is A
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Perimeter (P) = 2L + 2w

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The missing term in the provided quadratic equation is 10x if the roots of a quadratic equation are 5 ± 3i.

<h3>What is a complex number?</h3>

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have the roots of a quadratic equation:

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To find the quadratic equation:

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The quadratic equation is:

= x² -10x + 34

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Can someone tell me<br> How to solve this and a explanation?
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C

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