find the root of quadratic equation 3x^2-7x-6=0
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Answer: Hence, the roots of the equation 3x²-7x-6 are x = 3 and x = -2/3.
Step-by-step explanation: mark me brainliest
Answered by
4
Answer:
given,
A quadratic equation 3x²-7x-6
To find,
The factors of the equation
Solution,
The equation is of the form of ax²+bx+c where a = 3, b = -7 and c = -6.
First, we need to find the discriminant of the equation.
⇒ D = b²-4ac
⇒ D = (-7)² - 4(3)(-6)
⇒ D = 49 + 72
⇒ D = 121
Since D = 121 the equation must have roots.
and
First root,
⇒ x = (-(-7) +√121)/2(3)
⇒ x = (7 + 11)/2(3)
⇒ x = 18/6
⇒ x = 3
Second root,
⇒ x = (-(-7) -√121)/2(3)
⇒ x = (7 - 11)/2(3)
⇒ x = -4/6
⇒ x = -2/3.
Hence, the roots of the equation 3x²-7x-6 are x = 3 and x = -2/3ep-by-step explanation:
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