Question

Solve using splitting middle term
a) x^2 - 39x + 380
b) x^2 - 8x - 384
C) x^2 - 25x + 66
D) x^2 - 10x - 119
E) x^2 + 27x + 140​

Answer 1

TO KNOW :-

★ Zero Product Property :-

If pq = 0

Then , p = 0 or q = 0

SOLUTION :-

a) x² - 39x + 380

→ x² - 20x - 19x + 380 = 0

→ x(x - 20) - 19(x - 20) = 0

→ (x - 19)(x - 20) = 0

→ (x - 19) = 0 or (x - 20) = 0

→ x = 19 or x = 20

_______________

b) x² - 8x - 384

→ x² - 24x + 16x - 384 = 0

→ x(x - 24) + 16(x - 24) = 0

→ (x + 16)(x - 24) = 0

→ (x + 16) = 0 or (x - 24) = 0

→ x = -16 or x = 24

_______________

c) x² - 25x + 66

→ x² - 22x - 3x + 66 = 0

→ x(x - 22) - 3(x - 22) = 0

→ (x - 3)(x - 22) = 0

→ (x - 3) = 0 or (x - 22) = 0

→ x = 3 or x = 22

________________

d) x² - 10x - 119

→ x² - 17x + 7x - 119 = 0

→ x(x - 17) + 7(x - 17) = 0

→ (x + 7)(x - 17) = 0

→ (x + 7) = 0 or (x - 17) = 0

→ x = -7 or x = 17

________________

e) x² + 27x + 140

→ x² + 20x + 7x + 140 = 0

→ x(x + 20) + 7(x + 20) = 0

→ (x + 7)(x + 20) = 0

→ (x + 7) = 0 or (x + 20) = 0

→ x = -7 or x = -20