Step-by-step explanation:
p(x) = ax³ + 3bx² + 3cx + d
Roots are α−β, α, and α+β.
The sum of the roots of a cubic y = ax³ + bx² + cx + d is -b/a. Therefore:
α−β + α + α+β = -3b/a
3α = -3b/a
α = -b/a
α is a root, so p(α) = 0.
0 = a(α)³ + 3b(α)² + 3c(α) + d
Substitute α = -b/a:
0 = a(-b/a)³ + 3b(-b/a)² + 3c(-b/a) + d
0 = -(b³/a²) + 3b³/a² − 3bc/a + d
0 = -b³ + 3b³ − 3abc + a²d
0 = 2b³ − 3abc + a²d
3abc = 2b³ + a²d
12 is 75% of what
is means equals, of means multiply
12 = 75% * what
12 = .75 * what
divide each side by .75
12/.75 = .75 * what /.75
16 = what
12 is 75 percent of 16
the answer is 16
Answer:
make you interested in the game, so you spend more money
Step-by-step explanation:
Hope it helps :)
pls mark brainliest :P
Answer:
Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.
Exact Form:
x = − 70 ± √4210/30
Decimal Form:
x = −0.03
Step-by-step explanation:
5x(6x+28)=−23
Step 1: Simplify both sides of the equation.
30x2+140x=−23
Step 2: Subtract -23 from both sides.
30x2+140x−(−23)=−23−(−23)
30x2+140x+23=0
Step 3: Use quadratic formula with a=30, b=140, c=23.
x=−b±√b2−4ac/2a
x=−(140)±√(140)2−4(30)(23)/2(30)
x=−140±√16840/60
x=−7/3+1/30√4210 or x=−7/3+−1/30√4210
