Question

The quadratic equation 3x^2-7x=3, has roots that are?​

Answer 1

Answer:

The roots are real and distinct

Step-by-step explanation:

given equation: $3x^{2} - 7x = 3$

=> $3x^{2} - 7x - 3 = 0$

Comparing to standard form of quadratic equation: $ax^{2} + bx + c = 0$,

a = 3, b = -7, c= -3

$D = b^{2} - 4ac$

D = $(-7^{2})$ - 4(3)(-3)

D = 49 + 12(3)

D = 49 + 36

D = 85

Since D > 0, the roots are real and distinct

∴ The roots are real and distinct