Question

9x²+7x-2 discriminate method
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Answer 1

Answer:

Step-by-step explanation:

9x²+7x-2 = 0

9x² + 9x -2x -2 = 0

9x(x+1) -2 (x+1) = 0

(9x-2)(x+1) = 0

here, 9x-2 = 0

9x = 2

x = 2/9

x+1 = 0

x = -1

Answer 2

Solution:-

The given equation is 9x²+7x-2 =0

Compare with ax²+bx+c=0

So, a=9, b= 7 and c=-2

Discriminant=b²-4ac

Apply this formula to find discriminant

=> D=(7)²-4×9×-2

=> D = 49+72

=> D=121

To find the zeroes of polynomial,use quadratic formula

$x = \frac{ - b \pm \sqrt{D} }{2a}$

Put the value on given formula,we get

$x = \frac{ - 7 \pm \sqrt{121} }{2 \times 9}$

$x = \frac{ - 7 + 11}{18} \: \: and \: \: \frac{ - 7 - 11}{18}$

$x = \frac{4}{18} \: \: and \: \frac{ - 18}{18}$

$x = \frac{2}{9} \: \: and \: \: - 1$

Answer:-

=> zeroes of polynomial is 2/9 and -1