MATHEMATICS HIGH SCHOOL

Which represents the solution(s) of the system of equations, y = x2 – 4x – 21 and y = –5x – 22? Determine the solution set algebraically.(–1, –17)
(1, –27)
(–1, –17) and (1, –27)
no solutions

Answers

Answer 1
Answer:

Answer:

D. No solutions.

Step-by-step explanation:

We have been given a system of equations and we are asked to find the solution set for our given system.

y=x^2-4x-21

y=-5x-22

To find the solution for our given system we will equate our both equations as:

x^2-4x-21=-5x-22

x^2-4x+5x-21=-5x+5x-22

x^2+x-21=-22

x^2+x-21+22=-22+22

x^2+x+1=0  

We will use discriminant formula to check for the solution of our given system.

√(b^2-4ac) \geq 0 for real solutions.

Upon substituting our given values in above formula we will get,

√(1^2-4*1*1) \geq 0

√(1-4) \geq 0

√(-3) \ngeq 0

Therefore, our given system has no solutions and option D is the correct choices.
Answer 2
Answer:

Answer:

d

Step-by-step explanation:

on edge 2021

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Answers


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several ways like somebody said below you can use use pythag assuming u know the other 2 side lengths w/ a^2+b^2=c^2
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