The solutions to the given quadratic equation {49n² - 301n + 42 = 0 } are 1/7 and 6.
<h3>What are the solutions to the given quadratic equation?</h3>
Quadratic equation is simply an algebraic expression of the second degree in x. Quadratic equation in its standard form is expressed as;
ax² + bx + c = 0
Where x is the unknown
To solve for x, we use the quadratic formula
x = (-b±√(b² - 4ac)) / (2a)
Given the equation in the question;
49n² - 301n + 42 = 0
Compared to the standard form of quadratic equation { ax² + bx + c = 0 }
We plug in these values into the quadratic formula.
x = (-b±√(b² - 4ac)) / (2a)
x = (-(-301) ±√((-301)² - 4 × 49 × 42 )) / (2 × 49)
x = ( 301 ±√( 90601 - 8232 )) / 98
x = ( 301 ±√( 82369 )) / 98
x = ( 301 ± 287) / 98
x = (301 - 287)/98, (301 + 287)/98
x = 14/98, 588/98
x = 1/7, 6
Therefore, the solutions to the given quadratic equation {49n² - 301n + 42 = 0 } are 1/7 and 6.
Learn more about quadratic equations here: brainly.com/question/1863222
#SPJ1
Answer:
26%
Step-by-step explanation:
percent change = (new number - old number)/(old number) * 100%
Here, the new number is £504, and the old number is £400.
percent change = (£504 - £400)/(£400) * 100% =
= £104/£400 * 100% = 0.26 * 100% = 26%
Answer:
ΔNPM and ΔOMP by SAS postulate
B is correct
Step-by-step explanation:
In ΔNPM and ΔOMP
NP = OM (Given)
∠NPM = ∠OMP (Given)
PM = MP ( Common )
So, ΔNPM ≅ ΔOMP by SAS property of concurrency.
ΔNPM and ΔOMP are congruent because their two side and angle between them are equal.
Therefore, SAS postulate use here
Hence, ΔNPM and ΔOMP by SAS postulate
Answer:
Step-by-step explanation: b-8=a