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x^2 - 10x + 21 = 0
First, factorise the quadratic equation.
Find two numbers that multiply to give 21 and add to give 10. 7 and 3
(x-7)(x-3)=0
Now find the value x so that when these brackets are multiplied together the answer is 0.
So either x=7 or x=3
You can check the answer by substituting 7 and 3 into the equation.
Answered by Ben S. •
Maths tutor
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Could you please go through an example question where you have to solve quadratic simultaneous equations?
Expand (t+5)(t-2)
How do I solve simultaneous equations when one is quadratic? For example 3x^2 -2y = 19, 6x-y-14=0
Factorise and thus solve: x^2– 2x– 24 = 0
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