2.9 Quadratic Equation, SPM Practice (Paper 1)


Question 6:
Write and simplify the equation whose roots are the reciprocals of the roots of 3 x 2 +2x1=0 , without solving the given equation.

Solution:



Question 7:
Find the value of p if one root of x 2 +px+8=0 is the square of the other.

Solution:



Question 8:
If one root of 2 x 2 +px+9=0 is twice the other, find the values of p.

Solution:



Question 9:
The roots of the equation 6 x 2 +hx+1=0 are α and β, whereas 3α and 3β are the roots of the equation 2 x 2 x+k=0 . Find the value of h and k.

Solution:



Question 10:
Find the range of values of p for which the equation 2 x 2 +5x+3p=0 has two real distinct roots.

Solution:


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