2 years ago

Write the quadratic equation whose roots are -3 and 2 , and whose leading coefficient is 5

Mathematics

1 answer:

KiRa [710]2 years ago

5 0

Step-by-step explanation:

Since, roots are - 3 & 2

Therefore, (x + 3) & (x - 2) would be factors.

Leading coefficient is 5

Hence, required quadratic equation is:

$5(x + 3)(x - 2) = 0 \\ \therefore \: 5( {x}^{2} - 2x + 3x - 6) = 0\\ \therefore \: 5( {x}^{2} + x - 6) = 0\\ \therefore \: 5 {x}^{2} + 5x - 30 = 0\: \\ is \: the \: required \: quadratic \: equation.$

You might be interested in

6 ft. 12 ft. 8 ft. The area of this irregular figure is -sq. ft. 16 ft.

nikdorinn [45]

Answer:

When we know all 3 sides, we use Heron's Formula

area = sqrt [s *(s-a) * (s-b) * (s-c)]

where "s" is the semi-perimeter which in this case equals

s = (6 + 8 + 12) / 2 = 13

area = sqrt [13 * 5 * 7 * 1]

area = sqrt 455

area = 21.3307290077

area = 21.33 square feet (rounded)

Step-by-step explanation:

3 0

3 years ago

Megan buys 3 bracelets and 3 necklaces. Each bracelet costs 5. Megan pays on 40 and gets 4 change. what is the cost of one neckl

djverab [1.8K]

The necklaces cost $3 each.

8 0

2 years ago

Read 2 more answers

1 3 y = -x - 4 2 What is the h value

jasenka [17]

Answer:

Step-by-step explanation:

231

8 0

2 years ago

Are these all correct there part 1, 2,3,and 4

kipiarov [429]

Answer:

yes all are right

Step-by-step explanation:

3 0

2 years ago

2/13 = 0.153846 In the decimal above, 1 is the first digit in the repeating pattern. What is the 279th digit?

svetoff [14.1K]

Answer:

Step-by-step explanation:

There are 6 digits in the repeating pattern.

279 / 6 = 46.5 remainder 3.

we care about the remainder as this is how many digits in. it is the 3rd digit in so is 3.

6 0

5 months ago