$f(x) = 0 \\\\\implies x^3-13x^2+59x -87 =0\\\\\implies x^3 -3x^2 -10x^2 +30x +29x - 87=0\\\\\implies x^2(x-3) - 10x(x-3) + 29(x-3) =0\\\\\implies (x-3)(x^2 -10x +29) =0\\\\\implies x - 3 = 0 ~~ \text{or}~~x^2 -10x +29 = 0\\\\\implies x =3~~ \text{ or} ~~ x = \dfrac{-(-10) \pm \sqrt{(-10)^2 -4 \cdot 1 \cdot 29}}{2(1)}\\\\\implies x =3~~ \text{ or} ~~ x = \dfrac{10\pm \sqrt{-16}}{2}\\\\\implies x =3~~ \text{ or} ~~ x = \dfrac{10\pm 4i }{2}\\$

$\\\implies x =3~~ \text{ or} ~~ x =5 \pm 2i\\\\\text{Hence the complex roots are,}~ 5- 2i ~~ \text{and} ~~5 + 2i$

6 0

3 years ago

Maria earns $80 per day working at a gas station. Write an algebraic expression to represent the amount of money she will earn i

Simora [160]

Answer:

The algebraic expression is 80d

Step-by-step explanation:

Maria's earnings per day = $80

Number of days= d

Total earnings for d days:

80d

Where,

80 is earnings per day

d is number of days

The algebraic expression is 80d

Algebraic equation is

y= 80d

Where

y= total income earned in d days

The expression is different from am equation because of the equal to sign(=)

3 0

4 years ago

Can I get some help please

lys-0071 [83]

Answer:

Step-by-step explanation:

C is the right answer that you're looking for because the hundredth value in this number is 3 in 345 and the closest hundredth there is 300 so the number closest to hundredths is 2,684,300

7 0

3 years ago

Read 2 more answers

There is a picture attached. that is the question

enot [183]

-2

explanation:

coefficient is the number in front of the term it's asking for. so the number in front of x² would be the -2.

another tip the b's represents x in that equation!!

7 0

3 years ago