1. What is the value of each shape? a) (x+3) (x + 7) = x² + x +12​

Given x

2

−7x+12=0

This is in the form ax

2

+bx+c=0 where, a = 1, b = -7 and c = 12

Quadratic formula is, x=

2a

−b±

b

2

−4ac

By substituting the values, we get

x=

2×1

−(−7)±

(−7)

2

−4×1×12

=

2

7±

49−48

=

2

7±

1

=

2

7±1

If x=

2

7+1

=

2

8

=4 x=

2

7−1

=

2

6

=3

∴ 4 and 3 are the roots of x

2

−7x+12=0

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АНАНАНАН ВІТСН

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!

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