Question

(2) One of the roots of a quadratic equation is 4 - √7Find the equation.​

Answer 1

Answer:

x²-8x+9 = 0

Step-by-step explanation:

When roots are given in a surd form (p - √q) then it's conjugate will be the other root.i.e. (4-√7) = α and (4+√7) = β

Now use

x² - (α+β)x + αβ = 0

x² - (4-√7+4+√7)x + (4-√7)(4+√7) = 0

x² - 8x + (16-7) = 0

x² - 8x + 9 = 0