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Answer:</h3>
1. Solutions: x = 3.4, 10.6
2. Solutions: ,
3. Solutions: x = -1, 11
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Step-by-step explanation:</h3>
Quadratic formula:
Quadratic equation: ax² + bx c = 0, where a ≠ 0
1. x² - 14x + 36 = 0
a = 1, b = -14, c = 36
Substitute the given values into the formula:
Separate into two cases:
and
2. x² + 7x + 16 = 0
a = 1, b = 7, c = 16
Substitute the given values into the formula:
Imaginary number rule: For any positive real number "k",
Notes: Two imaginary solutions indicate that the graph will not intersect the x-axis. As a result, it has no real roots.
Separate into two cases:
3. x² - 10x - 11 = 0
a = 1, b = -10, c = -11
Substitute the given values into the formula:
Separate into two cases:
and
Hope this helps!
Learn more about quadratic equation here:
brainly.com/question/27729447
Answer:
-6 & 6
Step-by-step explanation:
-6 time 6 is -36
Answer:
x=-2
Step-by-step explanation:
6 - 2x = -4x + 2
When moving one number to the other side of the equal sign, change it from either negative to positive or positive to negative
4x - 2x = -6 + 2
add/subtract
2x = -4
divide each side by 2
x = -2
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Answer:
x = 4
y = 13
Step-by-step explanation:
x + y = 17
y = 2x + 5
substitute for y:
x + (2x + 5) = 17
reduce:
3x + 5 = 17
subtract 5 from each side:
3x = 12
divide both sides by 3:
x = 4
y = 2(4) + 5
y = 13