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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:
2x² + 6x + 4
= 2(x² + 3x + 2)
= 2(x² + 2x + x + 2)
= 2[x(x + 2) + (x + 2)]
= 2(x + 1)(x + 2)
Step-by-step explanation:
O.9c
Step-by-step explanation: