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Maths
GCSE

Work out the solutions to the following quadratic equation: x² + 7x + 10 = 0 by factorising.

Firstly, we have to factorise the quadratic equation. So what this involves is finding two numbers which add up to 7 but also multiply to give 10 at the same time. To help you with this we can find common...

TN
Answered by Tin N. Maths tutor
4194 Views

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...

EW
Answered by Edward W. Maths tutor
4266 Views

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 ===...

JS
Answered by Juhi S. Maths tutor
20438 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 =...

EL
Answered by Emma L. Maths tutor
7429 Views

Show x^2 + 8x +15 = 0 in the form of (x+b)^2 +c (complete the square) and then solve the equation

x2+8x +15 = 0
(x+4)2-16 +15=0
(x+4)2-1=0
(x+4)= (+/-)1

x = -3 or -5

OA
Answered by Omar A. Maths tutor
3483 Views

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