Question

Write the quadratic equation whose roots are -3 and 3, and whose leading coefficient is 5

Answer 1

5x²- 1.8

Explanation:

roots are -3 and 3, put them in brackets

(x - 3)(x + 3)

x² + 3x - 3x - 9

x² - 9

5x = -9

x = -1.8

5x² - 1.8

just to check:

5x² - 1.8

x² - 9

(x - 3)(x - 3)

x = -3 and 3.