https://socratic.org/questions/the-ratio-of-boys-to-girls-at-a-college-is-4-5-how-many-boys-and-are-there-if-th
4th 2nd 3rd 1st I think thats the order.
Answer:
<u>1. 3x^2 + 4x - 5 = 0</u>
<u>x₁ = (-2 + √19)/3</u>
<u>x₂ = (-2 - √19)/3</u>
<u>2. X^2 - 13x + 42 = 0</u>
<u>x₁ = 7</u>
<u>x₂ = 6</u>
Step-by-step explanation:
1. Let's solve for x using the quadratic formula this way:
3x^2 + 4x - 5 = 0
x = [-4 +/- √(4² - 4 * 3 * -5)]/2 * 3
x = [-4 +/- √(16 + 60)]/6
x = [-4 +/- √76]/6
x = [-4 +/- 2√19]/6 (√76 =√4 * 19)
x = -2 +/- √19/3
<u>x₁ = (-2 + √19)/3</u>
<u>x₂ = (-2 - √19)/3</u>
2. Let's solve for x, factoring this way:
X^2 - 13x + 42 = 0
(x - 7) (x - 6) = 0
<u>x₁ = 7</u>
<u>x₂ = 6</u>
0-35=-35-(-35)=-70-(-35)=-105-(-15)=-120. so -120 would be your answer. hope this helped.