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(a) For any real number c , the quadratic equation x2 + x – c² = 0 has two distinct (real) solutions. (b) If a > 4 , then the equation ax? + 4x + 1 = 0 has no (real) solutions. (c) If b2 – 4ac > 0, then the quadratic equation ax? + bx +c=0 has at most one solution. -

(a) For any real number c , the quadratic equation x2 + x – c² = 0 has two distinct (real) solutions. (b) If a > 4 , then the equation ax? + 4x + 1 = 0 has no (real) solutions. (c) If b2 – 4ac > 0, then the quadratic equation ax? + bx +c=0 has at most one solution. -

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1.5.5. True or False? Explain your answer briefly. (a) For any real number c , the quadratic equation x2 + x – c² = 0 has two distinct (real) solutions. (b) If a > 4, then the equation ax? + 4x +1=0 has no (real) solutions. (c) If b2 – 4ac > 0, then the quadratic equation ax? + bx + c= 0 has at most one solution.
Transcribed Image Text:1.5.5. True or False? Explain your answer briefly. (a) For any real number c , the quadratic equation x2 + x – c² = 0 has two distinct (real) solutions. (b) If a > 4, then the equation ax? + 4x +1=0 has no (real) solutions. (c) If b2 – 4ac > 0, then the quadratic equation ax? + bx + c= 0 has at most one solution.
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