Answer :
b. The correct value of c − 3√2 from the given options is 23. This was determined by solving the quadratic equation substitution. Therefore, the correct answer is option b, 23.
We are tasked with substituting the values to find the correct solution. We start by selecting the given options to check which fits the equation provided:
Solution: Substituting the values
a = 3,
b = 13,
c = -10 in the quadratic formula, we obtain:
[tex]-13 ± √(13)^2 - 4 × 3 × (-10)[/tex]
2 × 3
= -13 ± √169 + 120 / 6
= -13 ± √289 / 6
= -13 ± 17 / 6
= 4 / 6, -30 / 6
Which simplifies to: 2/3 and -5
This corresponds to option b. 23.
Therefore, the correct value of c − 3√2 from the given options is 23.
