Top answers

The quadratic function f(x) = p + qx – x^2 has a maximum value of 5 when x = 3. Find the value of p and the value of q.

Express the quadratic equation using the formula that uses the vertex (x and y of the minimum/ maximum value). The formula is f(x)=a(x-h)^2 + k, where h=-b/2a and k=f(h). Now we have that a=-1 from the probl...
RN
Answered by Rafik N. • Maths tutor
13197 Views

Solve algabraically: 6a+b=16 and 5a-2b=19

To answer this we want to split up the 'a' parts and 'b' parts of the question and answer them seperately because we can't answer the question with two letters. We can change one equation to b=16-6a and now ...
AS
Answered by Anna S. • Maths tutor
5669 Views

Solve the following simultaneous equation: 1) 2x=y-5, 2) 2y^2=4x^2+4x-15

The most instinctual method one would go by is to rearrange the terms so that one side of the equation will be equal to either x,y, or zero. In this case to avoid fractions it may be best to rearrange the eq...
KL
Answered by King-Ting L. • Maths tutor
3884 Views

How do you factorise a quadratic?

A quadratic equation is something that looks like this: ax 2 +bx+c. FACTORISING a quadratic means to put this equation in the form (dx+e)(fx+g). For example, take the equation x 2 +5x+6. The factorised form ...
EB
Answered by Ethan B. • Maths tutor
4444 Views

Find the equation of the tangent to the curve y = 3x^2(x+2)^6 at the point (-1,3), in the form y = mx+c

Curve: y = 3x 2 (x+2) 6 Coordinate: (-1, 3) This is typically a C3/4 level question because of the differentiation, but the rest of the question is possible with year 12 maths knowledge. The best way to tack...
BK
Answered by BUNEME K. • Maths tutor
12722 Views