<u>ANSWER: </u>
If x =
and x = -3 are the roots of the equation, then values of a and b are 3, -6
<u>SOLUTION:
</u>
Given, quadratic equation is
and its roots are -3 , ![\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D)
We know that, for any quadratic equation of form
with roots
then,
Sum of roots
= ![\frac{-b}{a}](https://tex.z-dn.net/?f=%5Cfrac%7B-b%7D%7Ba%7D)
Product of roots (
= ![\frac{c}{a}](https://tex.z-dn.net/?f=%5Cfrac%7Bc%7D%7Ba%7D)
Now, for given quadratic equation
= -3 and
= ![\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D)
hence Sum of roots = ![\frac{-7}{a}](https://tex.z-dn.net/?f=%5Cfrac%7B-7%7D%7Ba%7D)
![x_{1} + x_{2} = \frac{-7}{a}](https://tex.z-dn.net/?f=x_%7B1%7D%20%2B%20x_%7B2%7D%20%3D%20%5Cfrac%7B-7%7D%7Ba%7D)
![-3 + \frac{2}{3} = \frac{-7}{a}](https://tex.z-dn.net/?f=-3%20%2B%20%5Cfrac%7B2%7D%7B3%7D%20%3D%20%5Cfrac%7B-7%7D%7Ba%7D)
on solving we get "a" = 3
Now product of roots = ![x_{1} \times x_{2} = \frac{b}{3}](https://tex.z-dn.net/?f=x_%7B1%7D%20%5Ctimes%20x_%7B2%7D%20%3D%20%5Cfrac%7Bb%7D%7B3%7D)
![-3 \times \frac{2}{3} = \frac{b}{3}](https://tex.z-dn.net/?f=-3%20%5Ctimes%20%5Cfrac%7B2%7D%7B3%7D%20%3D%20%5Cfrac%7Bb%7D%7B3%7D)
b = -6
hence, the values of a and b are 3, -6.
Try 40x+20+4kxexponet2+4kx+k
Answer:since the plane desends 1,300 feet per minute it would desend 19,500 feet afetr 15 minutes (1,300 × 15 = 19,500) subtract this from the planes's initial altitude 32,000 and the new altitude will be 12,500. (32,000−19,500=122,500
Step-by-step explanation:i did that up there
-12 = x+5<=-4 -12+5=-7 so -7<-4 So the conclusion is that negative seven is less than negative four.
Converting from meters to centimeters uses a negative exponent because a centimeter is a smaller unit of measurement than a meter. A centimeter is one hundredth of a meter.
Converting from meters to millimeters uses a positive exponent because a meter is bigger than a millimeter. One meter is equal to one thousand millimeters.
<h3>Further Explanation</h3>
Negative Exponents
Negative exponents are used to show division. A number with a negative exponent should be divided by itself for the amount of times the exponent indicates. For example
is 10 / 10 / 10 which equals .001.
Another example
= 0.125
Positive Exponents
Positive exponents are used to show multiplication. A number with a positive exponent should be multiplied by itself for the amount of times the exponent indicates. For example
is 10 x 10 x 10 which equals 1,000.
Another example
= 8
Meters
A meter is a metric unit of measurement.
1 m = 100 cm
1 m = 1,000 mm
<h3>Answer Details</h3>
Subject: Math
Level: Middle School
Topic: Exponents
<h3>Keywords</h3>
exponents, metric system, meters, centimeters
<h3>Learn More</h3>
More on Metric Systems: brainly.com/question/3956263
Metric Conversions: brainly.com/question/12443484
Exponent Equation for Millimeters: brainly.com/question/13174260
Exponent Equation for Centimeters: brainly.com/question/13174258