Quadratic

Q1)Solve: 4x - 3(x-1/2)= 3(x-1/2)-2(2x-1)

Q2)If (1-p)is the root of quadratic equation x2+px+(1-p)=0.the the roots are??

Q3)Inthe proof of common roots it is given for

eq1:aα2+bα+c=0

eq2:a'α2+b'α+c'=0

by cross multiplying we get;

α2/(bc'-b'c)=α/(ca'-ac')=1/(ab'-a'b)

Here α is the common root

Someone pls explain the cross multiplying part.How did we get it??

4 Answers

11
jeetopper jee ·

2)1±√7i/2
3)use simultaneous solutio for 2 equation
1)
x=2log2-1.5log3/2log2-log3

36
rahul ·

Q1) 4x - 3(x - 0.5) = 3(x + 0.5) - 2(2x - 1)

=> 4x - 3x.3-0.5 = 3x.30.5 - 4x.2-1

=> 4x(1 + 2-1) = 3x(30.5 + 3-0.5)

=> 4x.3/2 = 3x.4/30.5

=> 4x/3x = 8/33/2

=> (4/3)x = (4/3)3/2

=> x = 3/2 or, x = 1.5

The answer of Q2. is maybe.. 10 or 1

11
jeetopper jee ·

@rahul read the question carefully . there is only minus sign in the power to 3.

Dont manipulate the question........

71
Vivek @ Born this Way ·

I think cross multiplication is like determinants expansion. Just with a minus sign for the middle term (i.e., α ) and for the rest multiply criss cross as you do while expanding a det.

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