SYNTENE LEARN . SAT MATH . ADVANCED MATH
The equation x^2 + 10x + c = 0 has exactly one real solution. What is the value of c?
Answer: 25. 100 - 4c = 0, so c = 25. The equation becomes (x + 5)^2 = 0.
Step-by-step solution
100 - 4c = 0, so c = 25. The equation becomes (x + 5)^2 = 0.
Common mistake
Setting the discriminant to a positive number, or dividing 100 by 4 incorrectly.
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What is the answer to The equation x^2 + 10x + c = 0 has exactly one real solution. What is the value of c?
Answer: 25. 100 - 4c = 0, so c = 25. The equation becomes (x + 5)^2 = 0.
How do you solve it?
100 - 4c = 0, so c = 25. The equation becomes (x + 5)^2 = 0.
What mistake do most students make?
Setting the discriminant to a positive number, or dividing 100 by 4 incorrectly.
What SAT topic is this?
Advanced Math. Practice more free Advanced Math questions with instant feedback at Syntene Learn.