Math, asked by Anonymous, 8 months ago

Q:-solve the quadratic equation
 \sqrt{2} {x}^{2} + 7x + 5 \sqrt{2} = 0
find the value of x ​

Answers

Answered by Anonymous
5

\green{\bold{\underline{ ☆        UPSC-ASPIRANT ☆} }}

\red{\bold{\underline{\underline{QUESTION:-}}}}

Q:-solve the quadratic equation

 \sqrt{2} {x}^{2} + 7x + 5 \sqrt{2} = 0

\huge\tt\underline\blue{ANSWER }

------>>>>Here is your answer<<<<--------

⇛ \sqrt{2}  {x}^{2}  + 7x + 5 \sqrt{2}  = 0

⇛ \sqrt{2}  {x}^{2}  + 2x + 5x + 5 \sqrt{2}  = 0

 ⇛ \sqrt{2} x(x +  \sqrt{2} ) + 5(x +  \sqrt{2} ) = 0

⇛(x +  \sqrt{2} )( \sqrt{2} x + 5)

⇛x +  \sqrt{2}  = 0

⇛x =  -  \sqrt{2} ✓

⇛ \sqrt{2} x + 5 = 0

⇛x =  -  \frac{5}{ \sqrt{2} } ✓

HOPE IT HELPS YOU..

_____________________

Thankyou:)

Answered by shresthjhaiis815
0

Answer:

Step-by-step explanation:

Given,

2

​  

x  

2

+7x+5  

2

​  

=0

or,  

2

​  

x  

2

+2x+5x+5  

2

​  

=0

or, x  

2

​  

(x+  

2

​  

)+5(x+  

2

​  

)=0

or, (x  

2

​  

+5)(x+  

2

​  

)=0

⇒x=−  

2

​  

 

5

​  

,−  

2

​  

.

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