1.

Solve 2x-3=√2x2-2x +21​

Answer»

Step-by-step EXPLANATION:

Given equation is

2x - 3 =  \sqrt{2}  {x}^{2}  - 2x + 21

\sqrt{2}  {x}^{2}  - 2x - 2x + 21 + 3 = 0

\sqrt{2}  {x}^{2}  - 4x + 24 = 0

To find the roots we are USING the below formula:

x =  (- b + \sqrt{ {b}^{2}  - 4ac} )  \div 2a

x =  (- b -  \sqrt{ {b}^{2}  - 4ac} ) \div 2a

Here

b =  - 4

a =  \sqrt{2}

c = 24

We have to SUBSTITUTE these values in above formula ,then we get the roots of above equation



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