# Brain Teaser of the Week: Can You Solve This Quadratic Equation By Completing The Square?

## Can You Solve This Quadratic Equation By Completing The Square?

Brain teasers are exciting puzzle that needs thinking to solve. Brain teasers make you think out of the box and exploit your mind’s potential. One of the most recent brain teasers trending on social media and boggling many minds is Can You Solve This Quadratic Equation By Completing The Square?

Let us first have a look at what this Equation is.

In this brain teaser, you will find The  Quadratic Equation In This Image; let’s see Can You Solve This Quadratic Equation By Completing The Square?

If you are still trying to get the answer to this, we have a hint for you, there are a few different solutions, and all you need to know is basic General knowledge to get the mistakes right. Let us now see the solutions and its explanation.

6x^2-7x+8 =0,

a= 6, b = -7, c = 8,

-b = 7,

b^2 = 49,

4ac = 4×6×8 = 192,

b^2 -4ac = 48-192 = – 144 < 0

Since it is negative, this equation has no real roots. To keep everything in integers for as long as possible, note that the middle coefficient is odd, so multiply by 4·6

4·6·6x² – 24·7x = –24·8

12²x² – 2·12·7x = –192

12²x² – 2·12·7x + 7² = 49 – 192

(12x – 7)² = –143

x = (7 ± i√143)/12

Completing the square for this expression would be much better than beginning with the equation, as this also derives the coordinates for the vertex. If only roots are needed, then the formula is the obvious choice. Moreover, you should review adding fractions. -4/3 + 7^2/12^2 = -43/12^2.

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