Write a quadratic equation with 7 and as its roots. Write the equation in the form ax^2+ bx + C = 0,
where a, b, and c are integers.

Respuesta :

x^2 - 37/5x + 14/5
.

The equation in the form ax² + bx + c of the quadratic equation with 7 and 2/5 as it root is x² - 33 / 5 x + 14 / 5

The root of the quadratic equation are 7 and 2/5 .

The equation should be written in the form

ax² + bx + c

where

a, b and c are integers.

Therefore,

x - (7) and x - 2/5

(x - 7)(x - 2/5)

open the bracket

x² - 2/5x - 7x + 14 / 5

x² - 33 / 5 x + 14 / 5

where

a = 1

b = -33 / 5

c = 14 / 5

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