Solve the quadratic equations

x^2 -8x + 35 = 0

x^2 +8x + 25 = 0

x^2=8x-35

Step-by-step explanation:

1.1     Factoring  x2-8x+35  

The first term is,  x2  its coefficient is  1 .

The middle term is,  -8x  its coefficient is  -8 .

The last term, "the constant", is  +35  

Step-1 : Multiply the coefficient of the first term by the constant   1 • 35 = 35  

Step-2 : Find two factors of  35  whose sum equals the coefficient of the middle term, which is   -8 .

     -35    +    -1    =    -36  

     -7    +    -5    =    -12  

     -5    +    -7    =    -12  

     -1    +    -35    =    -36  

     1    +    35    =    36  

     5    +    7    =    12  

     7    +    5    =    12  

     35    +    1    =    36  

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!