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Solve the equation x2-7x=-10

Step 1: Rearrange equation to form x² + bx + c= 0 -Add 10 to both sides of equation: x²-7x +10=0 Step 2: Factorise the quadratic equation -Find tw...

Answered by Edward W. • Maths tutor

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Write 2x2+ 12x + 3 in the form p(x + q)2+ r

Write 2x²+ 12x + 3 in the form p(x + q)²+ r Step 1: Factorise all the x terms using a common factor with brackets. In this case 2 is a common factor to both 2x²and 12x ===...

Answered by Juhi S. • Maths tutor

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Given y=2x^4-1+x^1/2, solve dy/dx

Using the sum rule, you can split the function in three terms and then derive each of them separately. The rule is to bring down the power and the power minus one. So for the first term, it becomes 2*4x

Answered by Yanni C. • Maths tutor

3069 Views

Using Algebra show that part of the line 3x + 4y = 0 is a diameter of the circle with equation (x^2) + (y^2) = 25

To show that the line is a diameter of the circle you muct show that it goes through the centre of the circle1) finding the centre of the circle. The general eqn is (x-a)²+ (y-b)² =...

Answered by Emma L. • Maths tutor

7104 Views

How do I find a stationary point on a curve and work out if it is a maximum or minimum point?

At any stationary point, the gradient of a line is zero.
Therefore dy/dx = 0. If we differentiate the equation of the line, and solve this expression we can find the coordinates of the stationary po...

Answered by Benjamin H. • Maths tutor

3033 Views