Question

find the zeros of 4 x square - 7 and verify the relation ship between if zeros and its coefficient​

Answer 1

Let

f(x) = 4x2 - 7

4x2 - 7 = 0

(2x)2 - (√7)2 =

Using a2 - b2 = (a - b)(a + b), we have

(2x - √7)(2x + √7) = 0

2x - √7 = 0 or 2x + √7 = 0

2x = √7 or 2x = -√7

x = √7/2 or x = -√7/2

α + β = √7/2 + (-√7/2) = 0 = 0/4 = -b/a

αβ = √7/2*-√7/2 = -7/4 = c/a

So, α + β = -b/a and αβ = c/a

Answer 2

Answer:

4x^2-7=0

4x^2=7

x^2=7/4

x=√7/√4

x=+-√7/2

therefore,

zeroes are +-√7/2

coefficient=4