x – 7x + 10 = 0

Equation of this type should be seen as x2-SX+P=0, where S is the sum of the solutions, while P is their product. We have too find 2 numbers whose sum is S and product is P. In this example, we have S=7 and P=10, for this 2 conditions we have x1=2 and x2=5, as 2+5=7 and 2x5=10. Next, we will divide 7 in 2 and 5, as it follows: (x2-5x)-(2x+10)=0, in order to be more clear you use brackets. Now, we choose the common factor and extract it => x(x-5)-2(x-5)=0 (!pay attention to the signs). It is easily to see another common factor (x-5), therefore we extract once again the common factor => (x-5)(x-2)=0. This is the final result.

Answered by Anca Elena M. Maths tutor

2525 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Edexcel 2017, Q8) A square, with sides of length x cm, is inside a circle. Each vertex of the square is on the circumference of the circle. The area of the circle is 49cm. Work out x.


Find x when 2x^2-4x-6=0


Solve the inequality x^2 + 5x -24 ≥ 0.


Derive X^2 + 2x


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo
Cookie Preferences