Answer:
Step-by-step explanation:
Let the solution to
2x^2 + x -1 =0
x^2+ (1/2)x -(1/2)
are a and b
Hence a + b = -(1/2) ( minus the coefficient of x )
ab = -1/2 (the constant)
A. We want to have an equation where the roots are a +5 and b+5.
Therefore the sum of the roots is (a+5) + (b+5) = a+ b +10 =(-1/2) + 10 =19/2.
The product is (a+5)(b+5) =ab + 5(a+b) + 25 = (-1/2) + 5(-1/2) + 25 = 22.
So the equation is
x^2-(19/2)x + 22 =0
2x^2-19x + 44 =0
B. We want the roots to be 3a and 3b.
Hence (3a) + (3b) = 3(a+b) = 3(-1/2) =-3/2 and
(3a)(3b) = 9(ab) =9(-1/2)=-9/2.
So the equation is
x^2 +(3/2) x -9/2 = 0
2x^2 + 3x -9 =0.
Answer:
√85
Step-by-step explanation:
The given shape is a right angled triangle.
Let the missing side length be " x ".
By Pythagoras theorem,
x² = 6² + 7²
x² = 36 + 49
x² = 85
x = √85
Therefore, the missing side length be √85.
Answer:
False because on the left side of the equation you are adding 18 and 35 first and on the right you are multiplying 35 and 4 first. This will give you an unequal equation when solved.
Let's solve each side
(18+35)*4=212
but 18+(35*4)=158
Answer:
£ 3600
Step-by-step explanation:
Each PERSON cost:
Travel cost 130 (assume for whole 7 days since per day is not written)
Hotel 60 per day (so 7 days = 60 * 7 = 420)
Money Spend 350 (assume for whole 7 days since per day is not written)
-------------------------------------------------------------------------------------------------------------
Now, that sums to:
130 + 420 + 350 = £900 [each person for whole 7 days]
Now, there are 4 person, so total cost of whole group (4 persons):
900 * 4 = <u>£ 3600</u>
