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21.05.2021 •
Mathematics
Use the right triangle shown to find each value in simplest form.
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Ответ:
Value of m must be less than
Step-by-step explanation:
Given: Equation of curve,
To find: 2 x-intercepts
X-intercept of curve means zeroes of quadratic equation we get by putting y = 0.
So, The quadratic equation we get,
Now, to have 2 x-intercept the discriminant of the quadratic equation should be greater than 0.
Therefore, By using this condition we find value of m for which given equation has 2 x-intercept.
Discriminant, D =
where, a = coefficient of
b = coefficient of
c = constant term
⇒ a = 3, b = 7 & c = m
Putting these value and applying the condition of discriminant we get,
D > 0
⇒
⇒
Squaring both sides,
⇒
⇒
⇒
Therefore, Value of m must be less than