 ## 3.6 Quadratic Function, SPM Practice (Short Question)

Question 3: The straight line y = 5x – 1 does not intersect with the curve y = 2×2 + x + h. Find the range of values of h. Solution: y=5x−1         …… (1) y=2 x 2 +x+h …… (2) Substitute (1) into (2), 5x−1=2 x 2 +x+h 2 x 2 +x+h−5x+1=0 2 x 2 −4x+h+1=0                   b 2 −4ac<0 ( −4 … Read more3.6 Quadratic Function, SPM Practice (Short Question)

## 2.9 Quadratic Equation, SPM Practice (Paper 1)

Question 11: The quadratic equation x 2 −4x−1=2p(x−5) , where p is a constant, has two equal roots. Calculate the possible values of p. Solution: Question 12: Find the range of values of k for which the equation x 2 −2kx+ k 2 +5k−6=0 has no real roots. Solution: Question 13: Find the range of … Read more2.9 Quadratic Equation, SPM Practice (Paper 1)

## 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 +2x−1=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 … Read more2.9 Quadratic Equation, SPM Practice (Paper 1)

## 2.9 Quadratic Equation, SPM Practice (Paper 1)

Question 1: Solve the following quadratic equations by factorisation. (a)  x 2 −5x−10=−4 (b) 3−x−2 x 2 =0 (c) 11a=2 a 2 +12 (d)  2x+7 3x−2 =x Solution: Question 2: Solve the following quadratic equations by completing the square. (a) 5 x 2 +10x−3=0 (b) 2 x 2 −5x−6=0 Solution: Question 3: Solve the following quadratic equations by using … Read more2.9 Quadratic Equation, SPM Practice (Paper 1)