Question

If the discriminat (D) of 3x2 +2x +a =0 is double of the discriminat x2 - 4x+2 =0 then find the value of a
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Answer 1

Answer:

a = -1

Step-by-step explanation:

3x² + 2x + a= 0, a= 3, b= 2, c= a

x²- 4x + 2= 0 , A=1, B= -4, C= 2

b²- 4ac = 2(B²- 4AC)---(given)

(2)²- 4 x 3 x a = 2[(-4)²- 4 x 1 x 2]

4-12a =2 (16-8)

4-12a =2x 8

4-12a = 16

-12a= 16-4

-12a = 12

a = -1