hey guys plz help mee I need ur help..plz solve this
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hey guys plz help mee I need ur help..plz solve this
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Working out:
So let's complete the activity at once.
a) Solve by using formula :
Solution : 3m² + 2m - 7 = 0
Comparing with ax² + bx + c = 0
Hence, b² - 4ac = ?
Just plug the values of a, b and c from the equation,
⇛ b² - 4ac = 2² - 4(3)(-7)
⇛ b² - 4ac = 4 - (-84)
⇛ b² - 4ac = 4 + 84
⇛ b² - 4ac = 88
Now using Discriminant formula,
[tex] \sf{ \longrightarrow{m = \dfrac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} }}[/tex]
Again the plug the values of b, a and b² - 4ac
[tex] \sf{ \longrightarrow{m = \dfrac{ - 2 \pm \sqrt{88} }{2 \times 3} }}[/tex]
[tex] \sf{ \longrightarrow{m = \dfrac{ - 2 \pm 2 \sqrt{22} }{6} }}[/tex]
[tex]\sf{ \longrightarrow{m = \dfrac{ - 1 \pm \sqrt{22} }{3} }}[/tex]
On solving the value of m will be,
[tex] \sf{ \longrightarrow{m = \dfrac{ - 1 + \sqrt{22} }{3} \: or \: \dfrac{ - 1 - \sqrt{22} }{3} }}[/tex]
And we are done !!