Solve. 3x2 + 4x = –5 using quadratic equation ...?

1 answer:

6 0

3x^2 + 4x - 5 = 0
x = [-b ±√(b^2 - 4ac)]/2a

a = 3
b = 4
c = -5

x = [-4 ±√(16 + 60)]/6
x = [-4 ±√76]/6
x = [-4 ±√(2^2 * 19)]/6
x = [-4 ±2√19]/6
x = [-2 ±√19]/3

x = [-2 + √19]/3
x = [-2 + 4.35]/3
x = 2.35/3
x = 0.78 (rounded to the nearest hundredth)

x = [-2 - ±√19]/3
x = [-2 - 4.35]/3
x = -6.35/3
x = -2.12 (rounded to the nearest hundredth)

∴ x = -2.12 , 0.78 (rounded to the nearest hundredth)

You might be interested in

Which equation can be used to find the volume of the cylinder?

sergejj [24]

Answer:

V = π × 4² × 16

Step-by-step explanation:

The formula for the volume of a cylinder is

V = πr²h

Data:

r = 4 in

h = 16 in

Calculation:

V = πr²h = π × 4² × 16

4 0

3 years ago

Diego's family spends $87 on 4 tickets to the fair and a $39 dinner.

svlad2 [7]

Answer: b. Lin buys a pack of 87 pencils. She gives 39 to her teacher and shared the remaining pencils between herself and 3 friends.

Step-by-step explanation:

Lin buys 87 pencils which is why the entire number line adds up to 87.

She gave 39 of these pencils to her teacher which s why there is a section of the number line that is unlike the rest and is 39 in number.

The rest of the number line is a set of 4 spaces which are equal.

Lin shared the remaining pencils between herself and 3 friends which means she shared the pencils with 4 people. These four equal quantities of pencils are the 4 spaces.