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Solve by factorisation. 3x^2 + 11x – 20 = 0

Factorisation is a skill learned through a lot of practise. For questions with a coefficient of x, I like to use the 'House Method'.Step 1 - multiply the coefficient of x2 with the constant. =3...

PP
Answered by Peter P. Maths tutor
7092 Views

A)Write x^2 – 8x + 25 in the form (x – a)^ 2 + b. (B) Write down the coordinates of the turning point of the graph of y = x2 – 8x + 25. (C)Hence describe the single transformation which maps the graph of y = x2 onto the graph of y = x2 – 8x + 25.

This is a question about completing the square of a quadratic equation. This is used to find the minimum point on a parabolic graph. A) Step 1 - set up the '(x – a)2' term by dividing the coeff...

PP
Answered by Peter P. Maths tutor
8012 Views

Find the value of X when 3x^2 + 6x + 3 = 0

Firstly we can see that this equation can be simplified. They are all divisible by 3 so this means we can simplify it to x^2 + 2x + 1 =0 Now we need to find what times together equals 1 but when added tog...

AJ
Answered by Alby J. Maths tutor
2696 Views

Solve: 2((x)^2) + 7x + 3, for x

First factorise the quadratic: (2x + 1)(x + 3). Next set the factorised equation to 0: (2x + 1)(x + 3) = 0. Then solve the equation to find the 2 values of x, dividing through one br...

OH
Answered by Olivia H. Maths tutor
2589 Views

The perimeter of a right-angled triangle is 78 cm. The lengths of its sides are in the ratio 3: 4 : 6 Work out the area of the triangle.

P1- Find the value of a single unit in the ratio:78/(3+4+6) or (13)= 6
P1- Find the length of the base and the height of the triangle through multiplying the single unit scale by the number of units ...

EE
Answered by Eduardo E. Maths tutor
2664 Views

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