Answer:
a² + c² = 641
Step-by-step explanation:
Given :-
- ax² + 20x + c has exactly one solution .
- a + c = 29 .
For exactly one Solution ,
- b² - 4ac = 0
- 20² - 4*a*c = 0
- 4ac = 400
- ac = 100
Also ,
- a + c = 29
- ( a + c)² = 29²
- a² + c² + 2ac = 841
- a² + c² + 2*100 = 841
- a²+ c² = 841 - 200
- a² + c² = 641
