Question

Solve by quadratic formula 16 X square - 27 x minus 10 =0

Answer 1

16x²- 27x- 10= 0
16x²- 32x+ 5x- 10= 0
16x(x-2) +5(x-2)= 0
(x-2)(16x+5)= 0

x= 2
x= -5/16

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Answer 2

Hi friend, Harish here.

Here is your answer:

The general form of quadratic equation is ax² + bx +c.

We have an expression, 16x² - 27x -10.

Where , a = 16, b = -27 , c = -10.

We know that,

$x= \frac{-b \± \sqrt{b^{2} - 4ac} }{2a}$

⇒ $\frac{-(-27) \± \sqrt{(-27)^{2} - 4 (16)(-10)} }{2\times 16}$

⇒ $\frac{27\± \sqrt{729+640} }{32} = \frac{27\± \sqrt{1369} }{32}= \frac{27\± 37}{32} = \frac{64}{32} = 2$ 

Another value is :

$\frac{27-37}{32} = \frac{-10}{32} = \frac{-5}{16}$

Therefore these two values of x. " 2  &  -5/16 " .
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Hope my  answer is hepful to you