Question

find root of the Quadratic equation by Quadratic formula

2x2-7x+3=0 ​

Answer 1

3 and 1/2

Step-by-step explanation:

quadratic formula =-b +- underroot b2 _ 4ac /2a

then,

b=-7 & a= 2 & c = 3

x =-(-7 )+- under root (-7 whole sq.) - 4×2×3 / 4

× = 7 +- under root 49 -24 / 4

×= 7+- under root 25 /4

x=7+-5 /4

7+5/4 = 12/4 = 3

7-5 /4 = 2/4 =1/2

Answer 2

Question:-

Find root of the Quadratic equation by Quadratic formula 2x² – 7x + 3 = 0.

Given:-

The quadratic equation 2x² – 7x + 3 = 0.

To Find:-

The root of the given quadratic equation by quadratic formula.

Solution:-

On comparing this equation with

ax² + bx + c = 0, we get

• a = 2,
• b = – 7 and
• c = 3.

By using quadratic formula, we get

${ \boxed{ \sf \large \color{red}x = - b± \frac{ \sqrt{{}b2 - 4ac} }{2a} }}$

$\sf \large⇒x = 7± \frac{ \sqrt{{49 - 24}} }{4} \\ \\ \\ \sf \large⇒x = 7± \frac{ \sqrt{{}25} }{4} \: \: \: \: \: \: \: \: \: \:$

$\sf \large⇒x = 7± \frac{5}{4}$

$\sf \large⇒x = \frac{7 + 5}{4}$

$\sf \large⇒x = \frac{12}{4} \: (or) \: \frac{2}{4}$

$\sf \large⇒x = 3 \: (or) \: \frac{1}{2}$

Answer:-

${ \boxed{ \sf \large \color{blue} \therefore x = 3 \: (or) \: \frac{1}{2} .}}$

Hope you have satisfied. ⚘