Solve x²-x-30=0 using the factorisation method.

Mathematics

1 answer:

Furkat [3]3 years ago

8 0

Answer:

Step-by-step explanation:

x²-x-30=0

x² - 6x + 5x - 30 = 0

(x² - 6x) + (5x - 30) = 0

x(x - 6) + 5(x - 6) = 0

(x + 5)(x - 6) = 0

x + 5 = 0 or x - 6 = 0

x = -5 or x = 6

You might be interested in

Write the equation of the line that passes through the point P and is

gayaneshka [121]

Since the lines are parallel their slopes are equal. So, the equation is y=4x+b
Now we need to find the y-intercept, which is b.
Now, Plug in point p to find b:
3=4*(-1)+b
b=3+4=7
The equation is: y=4x+7

5 0

3 years ago

You buy items costing $1900 and finance the cost with a fixed installment loan for 24 months at 8% simple interest per year.

ddd [48]

9514 1404 393

Answer:

$304
$91.83

Step-by-step explanation:

1. The finance charge is found from the simple interest formula;

I = Prt

where P is the principal amount, r is the annual rate, and t is the number of years.

24 months is 2 years, so the interest charged is ...

I = $1900×0.08×2 = $304

The finance charge is $304.

2. The monthly payment will be the total amount due, divided by the number of months.

payment = ($1900 +304)/24 = $2204/24 ≈ $91.83

The monthly payment is $91.83.

6 0

3 years ago

I need help please it’s due tomorrow.......

Sholpan [36]

Let
x-------> the width of the rectangular area
y------> the length of the rectangular area

we know that
y=x+15------> equation 1
perimeter of a rectangle=2*[x+y]
2x+2y <= 150-------> equation 2

substitute 1 in 2
2x+2*[x+15] <=150--------> 2x+2x+30 <=150----> 4x <=150-30
4x <= 120---------> x <= 30
the width of the rectangular area is at most 30 ft
y=x+15
for x=30
y=30+15------> y=45
the length of the rectangular area is at most 45 ft

see the attached figure
the solution is<span> the shaded area</span>