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Alisiya [41]
3 years ago
10

Find all real numbers z for which the equation (z-5)x^2-zx+5=0 only has one real solution. If you find more than one, then list

the values separated by commas.
Mathematics
1 answer:
Nataliya [291]3 years ago
7 0

Step-by-step explanation:

For the quadratic equation to have 1 repeated real solution, the discriminant b² - 4ac must be zero.

=> (-z)² - 4(z - 5)(5) = 0

=> z² - 20(z - 5) = 0

=> z² - 20z + 100 = 0

=> (z - 10)² = 0

Therefore z = 10.

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Two water balloons were launched into the air at different moments and collided. the water balloons were modeled by the quadratic functions: y = −7x2 26x 3 and y = −6x2 23x 5, where y represents the height in meters and x represents the time in seconds after the launch. 2.0 seconds is the time, in seconds, that the balloons collided at the highest point

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We are told that the water balloons were modeled by the quadratic functions:

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Using an online quadratic equation solver gives us x = 2 or -1. We will take the positive one as x = 2.0 seconds

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brainly.com/question/1214333

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