Question

solve the equation using middle split $x^{2} + 7x - 98$

Answer 1

Answer:

[tex]x^{2} -(a+b)x +ab=(x-a)×(x-b)

Here

-(a+b)=7

a+b= -7

ab=-98

a=-14 and b=7 satisfies the given equation

So we can directly write from above equation

[x-(-14)]×[x-7]

so x= -14 and x=7 is solution for the given equation

You can also show this detailed as

tex]x^{2} -(-14+7)x +-14×7

x(x-7)+14(x-7)

taking x-7 common we get the above same equation