Question

Solve by using quadratic formula , 2x²+ 3x - 6=0​

Answer 1

Answer:

x= -3 + √(9+48)/4 or -3 - √(9+48)/4

= -3+√57/4 or -3-√57/4

Answer 2

Your Answer:

Given:-

• Quadratic Equation = 2x²+ 3x - 6=0​

To find:-

• The values of x

Solution:-

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

Here, D is discriminant

$\tt \star D = b^2-4ac$

$\tt Here,\\ \\\star a = 2 \\\\ \tt \star b = 3 \\\\ \tt \star c =-6$

Now Finding Discriminant

$\tt D = b^2-4ac \\\\ \tt \Rightarrow D = (3)^2 - 4(2)(-6) \\\\ \tt \Rightarrow D = 9 - (-48) \\\\ \tt \Rightarrow D = 57$

So, putting the value of D in the Quadratic Equation

$\tt x = \dfrac{-b \pm \sqrt D }{2a} \\\\ \tt \Rightarrow x = \dfrac{-3 \pm \sqrt{57}}{2(2)} \\\\ \tt \Rightarrow x= \dfrac{-3 \pm \sqrt{57}}{4}$

So, values of x = $\tt \dfrac{-3 + \sqrt{57}}{2} \ \ and \ \ \dfrac{-3 - \sqrt{57}}{2}$