HelloWorldofMath HelloWorldofMath
  • 16-01-2022
  • Mathematics
contestada

solve the equation by completing the square: x^2-3x-18=0. after completing the square, the equation will be ______ and the solution is ______

Respuesta :

mrscriptixx
mrscriptixx mrscriptixx
  • 16-01-2022

Answer:

1) x²-3x+9/4 = 81/4

2) x = 6, -3

Step-by-step explanation:

x²-3x-18=0

x²-3x=18

(b/2)² = (-3/2)² = 9/4; completing the square

x²-3x+9/4 = 18+9/4

(x-3/2)(x-3/2) = 81/4

x - 3/2 = ± 9/2

x = 3/2 ± 9/2

x = 6, -3

Answer Link

Otras preguntas

In the figure, the segment is parallel to one side of the triangle. The ratio of x to y is
A balanced chemical equation must have the same number of which of these on both sides of the equation? A) atoms B) reactants C) molecules D) compounds
Two classes have a total of 50 students. One class has 6 more students than the other. How many students are in the larger class
n which case, policy, or situation did the motto “kill the Indian, but save the man” play an important role in western expansion? the Dawes Severalty Act Worces
In a triangle, sides a, b, and c are opposite angles A, B, and C, respectively. If a=15, B=70°, and C=80°, what's the formula for c?
The function f(x) = 467(5)x represents the growth of a ladybug population every year in a wooded area. Adrianne wants to manipulate the formula to an equivalent
The circumference of a circular field is 260.62 yards. What is the diameter of the field? Use 3.14
divide x^5/8 by x^1/4
how do cubans celebrate independence day
In what forms of communication are you least likely to see connotation used