Question

the roots of quadratic equation 2X to the power of 2 -7X +3=0 are

Answer 1

AnsWer :

1 , 1 / 2.

SolutioN :

We have, Quadratic Equation.

2x² - 7x + 3 = 0.

Compare With General Equation.

ax² + b + c = 0.

Where as,

a = 2.

b = - 7.

c = 3.

Now,

→ 2x²- 7x + 3 = 0.

→ 2x² - 6x - x + 3 = 0.

→ 2x( x - 3 ) - 1 ( x - 3 ) = 0.

→ ( 2x - 1 )( x - 1 ) = 0.

$\rule{90}2$

Either,

→ 2x - 1 = 0.

→ x = 1 / 2.

Or,

→ x - 1 = 0.

→ x = 1.

Therefore, the value of x is 1 / 2 , 1.