+0  
 
0
47
1
avatar

Find the values of $a$ such that $ax^2+15x+4-12x+5$ is the square of a binomial.

 Aug 15, 2023

Best Answer 

 #1
avatar+944 
+1

 

Find the values of $a$ such that $ax^2+15x+4-12x+5$ is the square of a binomial.    

 

 

                                              ax^2+15x+4-12x+5    

 

Combine like terms                ax2 + 3x + 9    

 

For this to be a square    

then b2 – 4ac must = 0          32 – (4)(a)(9)  =  0    

 

                                                        9 – 36a  =  0           

 

                                                              36a  =  9    

 

                                                                   a  =  0.25    

 

The problem doesn't ask for      

the binomial, but it's (0.5x + 3)    

.

 Aug 15, 2023
 #1
avatar+944 
+1
Best Answer

 

Find the values of $a$ such that $ax^2+15x+4-12x+5$ is the square of a binomial.    

 

 

                                              ax^2+15x+4-12x+5    

 

Combine like terms                ax2 + 3x + 9    

 

For this to be a square    

then b2 – 4ac must = 0          32 – (4)(a)(9)  =  0    

 

                                                        9 – 36a  =  0           

 

                                                              36a  =  9    

 

                                                                   a  =  0.25    

 

The problem doesn't ask for      

the binomial, but it's (0.5x + 3)    

.

Bosco Aug 15, 2023

7 Online Users

avatar
avatar
avatar