Find the zero 's, if any, of the function algebraically: y = 7 x^2 + 16x + 4 and y = 6 x^2 - 17x + 12

Filipinacws

Filipinacws

Answered question

2022-08-04

Find the zero 's, if any, of the function algebraically:
y = 7 x 2 + 16 x + 4 and
y = 6 x 2 17 x + 12

Answer & Explanation

Addison Herman

Addison Herman

Beginner2022-08-05Added 15 answers

y = 7 x 2 + 16 x + 4
0 = 7 x 2 + 16 x + 4
0 = (7x +2) (x+2)
7x + 2 =0 x+ 2 = 0
7x =-2 x= -2
x = -2/7
y = 6 x 2 17 x + 12
0 = 6 x 2 17 x + 12
0 = (3x -4) (2x - 3)
3x - 4 =0 2x-3 = 0
3x =4 2x= 3
x =4/3 x= 3/2
kaeisky9u

kaeisky9u

Beginner2022-08-06Added 4 answers

a) y = 0 at x = -2
b) y = 0 at x = 2
Algebraically if u want to find out, just put y=0 and thenequation becomes a quadratic equation of the form a x 2 + b x + c = 0.
The roots can be found using the formula x 1 , x 2 = ( b + b 2 4 a c ) / 2 a

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