Verified Answer :

taskmasters

1.
A quadratic equation has the general formula
expressed as:


ax^2 + bx - c = 0


This equation can be solved by the quadratic formula which is expressed as:


x = ( -b (+ or -) √(b^2 - 4ac) / 2a


From the given equation,


a = 8

b = 16

c = 3


x = ( -16 (+ or -) √(16^2 - 4(8)(3)) / 2(8)
x1 = -0.21

x2 = -1.79

Answer:

Step-by-step explanation:

Given that Patel is solving the quadratic equation

\(8x^2 + 16x + 3 = 0\)

This can be done by factorisation or using formula or completion of squares method.

Since factorization does not seem to be possible let us resort to completion of squares method.

\(8x^2 + 16x + 3 = 0\\8(x^2+2x)+3=0\\8(x^2+2x+1-1)+3 =0\\8(x+1)^2-8+3=0\\(x+1)^2 =\frac{5}{8} \\x=-1+\sqrt{ \frac{5}{8}}\\x=-1-\sqrt{ \frac{5}{8}\)

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