Question

x^2 + 3x - 7 = 0 by formula method​

Answer 1

Answer:

x = 1.54 (approx.) OR x = -4.54 (approx.).

For exact answers see till the steps above (approx) in the explanation below.

Step-by-step explanation:

Quadratic Formula =

$\frac{-b +-\sqrt{b^2 - 4ac} }{2a}$

Here, a = 1, b = 3, c = -7

$x = \frac{-3 +\sqrt{3^2 - 4(1)(-7)} }{2(1)}\\x = \frac{-3 +\sqrt{9 - (-28)} }{2(1)}\\x = \frac{-3 +\sqrt{37} }{2}\\\sqrt{37} = 6.08 (approx.)\\x = \frac{-3 +6.08 }{2}(approx.)\\x = \frac{3.08 }{2}(approx.)\\x = 1.54(approx.)$

OR

$x = \frac{-3 -\sqrt{3^2 - 4(1)(-7)} }{2(1)}\\x = \frac{-3 -\sqrt{9 - (-28)} }{2(1)}\\x = \frac{-3 -\sqrt{37} }{2}\\\sqrt{37} = 6.08 (approx.)\\x = \frac{-3 -6.08 }{2}(approx.)\\x = \frac{-9.08 }{2}(approx.)\\x = -4.54(approx.)$