The answer is a.)(x - 4)2 = 3.

(x - a)² = b can be expressed as:
x² - 2ax + a² = b ⇒ x² - 2ax + a² - b = 0

Our equation is x² - 8x + 13 = 0.
The general formula is x² - 2ax + (a² - b) = 0

Thus:
8x = 2ax and a² - b = 13

Divide both sides of the first equation (8x = 2ax) by x:
8 = 2a ⇒ a = 8 ÷ 2 = 4

Replace a in the second equation (a² - b = 13):
4² - b = 13 ⇒ b = 4² - 13 = 16 - 13 = 3

Now when we have a and b, let's just replace them in the general equation:
(x - a)² = b
(x - 4)² = 3

4 0

3 years ago

Determine the discriminant for the quadratic equation -3 = x^2 + 4x+ 1. Based on the discriminant value, how many real number so

Kitty [74]

Hello :
-3 = x² + 4x+ 1
x²+4x+4=0
a=1 and b= 4 c= 4
b^2 - 4ac = (4)²-4(1)(4) =0
one solution : -b/2a = -4/2 = -2
note : x²+4x+4=0
(x+2)² = 0
x+2 = 0
x= -2

5 0

3 years ago

Find the value of P: -2+(-2)=1.2p+1/4p

Mrac [35]

1) -2 + (-2) = 1.2p + 1/4p
2) -4 = 1.2p + 0.25p
3) -4 = 1.45p
4) -4/1.45 = p

4 0

3 years ago

A parking lot has spaces reserved for motorcycles,cars,and vans.there are five more spaces reserved for vans than motorcycles.th

KATRIN_1 [288]

Answer:

Step-by-step explanation:

you get 180 and divide it by the three types of cars

4 0

3 years ago