Question

Find the root of the equation 4x + 3 = 2(x_4)​

Answer 1

Answer:

Solution to Question ID 610089

Answer

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Let the roots be a,a,b,b

we have a+a+b+b=−4 and a

2

b

2

=9

⇒a+b=−2 and ab=±3

Case I: ab=3

(a−b)

2

=(a+b)

2

−4ab

(a−b)

2

=4−12=−8 which is not possible. Hence ab



=3

Case II: ab=−3

(a−b)

2

=(a+b)

2

−4ab

(a−b)

2

=4−4(−3)=4+12=16

(a−b)=±4

a+b=−2

a−b=4 or a−b=−4

⇒2a=2 or 2a=−6

⇒a=1 or a=−3

⇒b=−3 or b=1

Hence we get −3,−3,1,1 as roots of given equation

Answer 2

Answer:

x is - 11/2

Step-by-step explanation:

4x + 3 = 2(x - 4)

4x + 3 = 2x - 8

4x - 2x = - 8 - 3

2x = - 11

x - -11/2