Question

Find the roots of x^2+3x-2 by using general formula

Answer 1

Hey.....

D=b2-4ac

=3×3-4×1×(-2)

= 9+8

= 17

x=-b under root D/2a

x=-3 under root 17 /2

x=-3 plus minus under root 17 /2


if positive

x=-3 +root 17 /2


if negative


x= -3-root 17/ 2...




hope this helps u...

Answer 2

$\huge{\mathfrak{\red{\underline{\underline{Answer :-}}}}}$

$\large{\mathrm{\underline{\gray{Given :-}}}}$

Equation :- x² + 3x - 2

a = 1

b = 3

c = -2

$\large{\mathrm{\underline{\gray{To \: Find :-}}}}$

Roots by using quadratic formula

$\large{\mathrm{\underline{\gray{Solution :-}}}}$

[Distinct Method]

$\huge{\boxed{\boxed{\bf{D \: = \: b^{2} \: - \: 4ac}}}}$

___________________[Put Values]

D = (3)² - 4(1)(-2)

D = 9 + 8

D = 17

√D = √17

Quadratic Formula :-

$\huge{\bf{\boxed{\boxed{x \: = \: {\frac{-b \: ± \: {\sqrt{D}}}{2a}}}}}}$

______________[Put values]

x = -(3) ± √17 / 2(1)

When Positive(+)

x = -3 + √17 / 2

When negative (-)

x = -3 - √17 / 2

________________________

$\huge{\bf{\boxed{\boxed{x \: = \frac {-3 +\sqrt17}{2}}}}}$

Or

$\huge{\bf{\boxed{\boxed{x \: = \frac {-3 -\sqrt17}{2}}}}}$