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Find the roots of the quadratic equation 2x^2 - 15x - 8

First we have to multiply 8 and 2 together to get 16. We then need to find all the factors for this number.These are:1 and 162 and 84 and 4 From these sets of factors, we have to find which has a difference ...
SG
Answered by Siobhan G. • Maths tutor
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Find the coordinates of the turning point of the equation y =x^2-8x+10

We know that the turning point of this quadratic will be a minimum point because the coefficient of x2 is positive (1). To find the turning point, we must complete the square: y= (x-4) 2 -16 +10 so y= (x-4) ...
SR
Answered by Sita R. • Maths tutor
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The length of a rectangle is five times the width. The area of the rectangle is 1620cm2. Work out the width of the rectangle.

For this question, we need to know the formula for finding the area of a rectangle is (length * width)From the question, Width = w; Length = 5wArea = 5w *w =1620cm 2 . therefore, 5w 2 = 1620cm 2 . Divide bot...
EH
Answered by Eme H. • Maths tutor
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Multiply out and simplify (x+7)(x-3)

Using FOIL (First, Outside, Inside, Last), we get:F: x 2 O: -3xI: 7xL: -21Adding these together gives x 2 + (-3x) + 7x + (-21)Which is the same as x 2 - 3x + 7x - 21Which simplifies to x 2 + 4x - 21
GR
Answered by Glen R. • Maths tutor
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Find the intersection point between the equations y=4x+7 and 3y=12x+21

-Take the second equation and divide all terms by 3.-This gives us two equations set up as "y = mx+C" -Make the equations equal to each other as Y = Y at the point of intersection.-Solve from here.
SM
Answered by Sahil M. • Maths tutor
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