Math, asked by ItzDazzingBoy, 5 hours ago

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

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Answers

Answered by TheAestheticBoy
149

Step-by-step explanation:

Question :-

➡ Determine the value of the root of the following quadratic equation from their discriminant =

 →\ \bold{ {x}^{2} - 2x +  \frac{9}{4}  = 0}

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Given :-

 →\ \bold \red{ {x}^{2} - 2x +  \frac{9}{4}  = 0}

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To Find :-

  • The value of the Root.

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Solution :-

We have,

  • a = 1
  • b = -2
  • c = 9/4

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Formula Required :-

➡ \:  \large \bold  \pink{D =  {b}^{2} - 4ac }

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Now,

  • Substituting the values in the first formula, we will get :-

➡  \:  \ \bold\blue{D = {b}^{2} - 4ac  } \\ \\   ➡\ \bold\blue{ \:D \:  = ( { - 2})^{2}  - 4 \times 1 \times  \frac{9}{4}  } \\  \\\large{\bold{\fcolorbox{black}{red}{D = -5}}}

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Here,

D < 0

  • So, the roots are not real & are unequal.

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\large\colorbox{pink}{Hope lt'z Help You ❥ }

Answered by Itzbigsecret28
1

The value of the root.

a = 1

b = -2

c = 9/4

Substituting the values in first formula :

D=b^{2} -4ac\\D=(-2)^{2} -4*1*\frac{9}{4} \\D=4-9\\D=-5

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