Q3 of 87 Page 34

Write the following equations in the form ax2 + bx + c = 0, then write the values of a, b, c for each equation.

(1) 2y = 10 – y2


(2) (x-1)2 = 2x + 3


(3) x2 + 5x = - (3-x)


(4) 3m2 = 2m2 - 9


(5) P(3 + 6p) = - 5


(6) x2 – 9 = 13

(1)


⇒


y2 + 2y - 10 = 0;


a = 1, b = 2, c = -10


(2)


⇒


⇒


⇒ x2 - 4x - 2 = 0;


a = 1, b = -4, c = -2


(3) ⇒


⇒


⇒ x2 + 4x + 3 = 0;


a = 1, b = 4, c = 3


(4) ⇒



a = 1, b = 0, c = 9


(5) ⇒


;


a = 6, b = 3, c = 5


(6) ⇒


= 0


a = 1, b = 0, c = -22


More from this chapter

All 87 →
1

Write any two quadratic equations.

 2

Decide which of the following are quadratic equations.

(1) x2 + 5x – 2 = 0


(2) y2 = 5y - 10


(3)


(4)


(5) (m + 2)(m–5) = 0


(6) m3 + 3m2 – 2 = 3 m3

4

Determine whether the values given against each of the quadratic equation are the roots of the equation.

(1) x2 + 4x – 5 = 0, x = 1, -1


(2)

5

Find k if x = 3 is a root of equation kx2 – 10x + 3 = 0.