Question

(i) 3x² - 5x - 12 = 0​

Answer 1

Answer: Solution:

Given quadratic equation:

3x²-5x-12=0

Splitting the middle term,we get

=> 3x²-9x+4x-12=0

=> 3x(x-3)+4(x-3)=0

=> (x-3)(3x+4)=0

=> x-3=0 or 3x+4=0

=> x = 3 or 3x=-4

=> x=3 or x = -4/3

Therefore,

x=3 or x = -4/3

••••

Step-by-step explanation:

Answer 2

Answer:

x=3 or x=-4/3

Step-by-step explanation:

ThESe eQuaTioN aRe oF thE foRm oF ax2+bx+c=0

ThEn, (diScRiminAnT) D=b2-4ac

D=25-(4×3×-12)

D=25+144

D=169

NoW bY quAdRatiC foRmuLa , wE haVe

x= -b+√D/2a

oR

x= -b-√D/2a

x=-(-5) + √169/2×3

=5+13/6

=18/6

=3

or

x=. -(-5)-√169/2×3

=5-13/6

=. -8/6

= -4/3

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