Question

from the quadratic equationif roots are 1/2 and -3/4​

Answer 1

Step-by-step explanation:

Let the roots 1/2 and -3/4 be a and ß

Quadratic equation = x²- ( a + ß)x +aß ...(i )

a + ß = 1/2 + (-3/4)

a + ß = (2 - 3)/4

a + ß = -1/4

aß = 1/2 × (-3/4)

aß = -3/8

putting in ( i )

x² - (-1/4)x + (-3/8)

x² + (1/4)x -3/8

(8x² + 2x - 3)/8

So the quadratic equation is

(8x²+2x -3)8