Math, asked by Anonymous, 4 months ago

Determine the value of the root of the following quadratic equation from their discriminant x² -2x+ 9/4 = 0​

Answers

Answered by Anonymous
2

➲CORRECT QUESTION :-

Determine the value of the root of the following quadratic equation from their discriminant \sf{x^2 -2x+\dfrac{9}{4}= 0}

❂ GIVEN :

\sf{x^2 -2x+\dfrac{9}{4} = 0} .

❂ TO FIND :

The value of the root.

➲SOLUTION :-

⦿ We have,

a = 1

b = -2

c = 9/4

✞ FORMULA REQUIRED :

 \boxed {\red{\bf{D=  b^2 - 4ac}}}

\boxed{\pink{\bf{Roots= \dfrac{ - b \pm  \sqrt{D} }{2a}}}}

Substituting the values in first formula :

: \implies  \sf{D=  b^2 - 4ac} \\  \\

 : \implies  \sf{D=  ( - 2)^2 -  \cancel{4}\times 1\times \dfrac{9}{\cancel{4}} }  \\  \\

 : \implies  \sf{D=  4  - 9} \\   \\

 : \implies    \underline{\underline{\tt{D= -5}}}

Answered by fantasyplayer
0

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