Question

$8x {}^{2} - 22x - 21 = 0$

Answer 1

Hi...dear...here is your answer...
.,$8x {}^{2} - 22x - 21 = 0$
the following problem can be solved by splitting the middle term...!!!
x= -3/4 or x= 7/2...
..
hope it helped you!!
Regards Brainly Star Community
#shubhendu

Answer 2

$(i) \: We, \: have \: 8x {}^{2} - 22x - 21 = 0 \\ ⇒8x {}^{2} - 28x + 6x - 21 = 0 \\ ⇒4x(2x - 7) + 3(2x - 7) = 0 \\ ⇒(2x - 7)(4x + 3) = 0 \\ ⇒2x - 7 = 0 \: or \: 4x + 3 = 0 \\ ⇒x = \frac{7}{2} \: or \: x = \frac{ - 3}{4} \\ Thus, \: x = \frac{7}{2} \: and \: x = \: \frac{ - 3}{4} are \: two \: roots \: of \: given \: equation.$