Solve the following equation. 7x^2 = 13x +2
First gather all x terms on left hand side,7x2-13x-2=0.
Since 7 is a prime number we can begin factorisation,(7x+/-?)(x+/-?)=0.
We know there must be a +/-2 and +/-1 in place of the question mark as they must multiply to make -2, so from the FOIL method, we can see,(7x+1)(x-2)=0 is the correct factorisation.
Then for the left bracket to equal 0, 7x+1=0 so 7x=-1 then x=-1/7.For the other solution, x-2=0 so x=2.
Therefore the two solutions are x= -1/7 or 2.
LS
Related Maths GCSE answers
All answers ▸5w -3 = 3w + 15
How do you find the length of a side of a right-angled triangle given the angle and the hypotenuse?
Olly drove 56 km from A to B. He then drives 61 km from B to C. Olly’s average speed from A to B was 70 km/h. Olly took 75 minutes to drive from B to C. Work out Olly’s average speed for his total drive from A to C.
I am struggling to solve algebra equations. I was given the following equation to solve at school and am unsure how to approach it : 4(x + 3) = 2x + 8