maths
Answer this all then I will mark BRAINLIST✓ PROMICE
Answers
Answer:
2) (D) y - 81 = 7y
3) (B) 9/2
4) (A) 27
5) (B) x² - 5x - 14
6) (D) 3x² - 15x + 16
7) (B) Not real
8) (C) Real and equal
9) (D) Real and unequal
Explanation:
2) Rewriting the equation in standard format, the coefficient of y² is 0 in option (D)
3) Let the root be x, then
x+x = 2x = -b/a = -(-6)/2 = 3
⇒ x = 3/2
Also,
x² = c/a
(3/2)² = k/2
k = 3×3/2 = 9/2
4) Discriminant = b² - 4ac = (5√3)² - 4×2×6 = 75 - 48 = 27
5) x² - 5x - 14 = x² + 2x - 7x - 14 = x(x + 2) - 7(x + 2) = (x + 2)(x - 7)
Roots = -2, 7
6) α + β = -b/a = 5
-(-15)/3 = 5
Hence verified
7) Since the value of b² - 4ac is negative and it's not possible to root negative numbers, the roots of the quadratic equation is not real
8) b² - 4ac is 0 and since 0 does not have positives or negatives, both roots of the equation have equal value
9) b² - 4ac is a positive value, and since root of a positive number has 2 real and unequal values, the root of the equation also has 2 real and unequal values
Hope this helped :)