Question

If α,β  are the zeroes of x2+7, then α+β=
​

Answer 1

Solution :-

Given that, α and β are the zeroes of polynomial.

↪x² + 7 = 0

↪x² + 0x + 7 = 0

On comparing with ax² + bx + c = 0 , We get :

↪ a = 1 , b = 0 , c = 7

☀ Finding Sum of roots. ☀

↪α + β = -b/a

↪α + β = -(0)/1

↪${\boxed{\red{\tt{α + β = 0}}}}$

☀ Finding Product of zeroes. ☀

↪αβ = c/a

↪αβ = 7/1

↪${\boxed{\blue{\tt{αβ = 7}}}}$

Hence,

• The value of α+β is 0.