Question

What is the value of h ?

(1) h2 = 36
(2) h2 + 12h = –36

Answer 1

Answer:

1. h2= 36

h=36/2

h=18

2.h2+h12=-36

14h=-36

h=-36/14=18/7

Answer 2

Answer:

(1) 6

(2) -6

Step-by-step explanation:

$h^{2}$=36

$\sqrt{h^{2}}$=$\sqrt{36}$

h=6

Second one is a question of splitting the middle term

h2 + 12h = -36 [transposing -36]

⇒h2 + 12h + 36=0

⇒h2 + 6h + 6h + 36 =0

⇒h (h+6)+ 6 (h+6)=0

⇒(h+6)(h+6)=0

⇒$(h+6)^{2}$=0

⇒$\sqrt{(h+6)^{2}}$=$\sqrt{0}$

⇒h + 6=0

⇒h= -6