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Irina-Kira [14]
3 years ago
5

If a quadratic equation only has one solution, it's discriminant is zero. True or False

Mathematics
1 answer:
bulgar [2K]3 years ago
7 0

Answer:

<h2>TRUE</h2>

Step-by-step explanation:

\text{The quadratic equation:}

ax^2+bx+c=0

\text{The discriminant:}

b^2-4ac

\text{If}\ b^2-4ac0\ \text{then the equation has two solutions}\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

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3 consecutive odd integers such that the sum of twice the first and three times the second is 55 more than twice the third
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Answer:

Consecutive odd integers are 19 , 21 & 23

Step-by-step explanation:

Let the first 3 consecutive odd intergers be x , (x + 2) and (x + 4).

According to the question,

2x + 3(x + 2) = 2(x + 4) + 55

=  > 2x + 3x + 6 = 2x + 8 + 55

Eliminating 2x from both the sides,

=  > 3x + 6 = 63

=  > 3x = 63 - 6 = 57

=  > x =  \frac{57}{3}  = 19

So, the consecutive odd integers are = 19 , 21 & 23.

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