Answer:
6x² + 5x - 2 = 0
Step-by-step explanation:
Given
2x² - 5x - 6 = 0 ← in standard form
with a = 2, b = - 5, c = - 6, then
sum of roots α + β = - =
product of roots = = - 3, then
sum of new roots = +
=
= = -
product of new roots = ×
= = -
Hence the required equation is
x² + x -
= 0 or
6x² + 5x - 2 = 0 ( multiplying through by 6 )
Answer:
The length of the rectangle is 9 cm
Step-by-step explanation:
Given: The length of rectangle(l) = (x+3) cm and a width of rectangle (w) = cm a
Also, perimeter of rectangle is 24 cm.
Perimeter of rectangle is to add the lengths of all the four sides.
Perimeter of rectangle (P) is given by;
P=2(l+w)
Substituting the value of P = 24 cm , l = (x+3) cm and w =
then,
Divide by 2 both sides of an equation;
Combine like terms;
Subtract 3 from both the sides we get;
Simplify:
Multiply both sides by we get
Therefore, length of rectangle(l) = (x+3) = 6+3 = 9 cm