Question

Find the zeros of the quadratic polynomial x2 – 3√5 x + 10 =0

Answer 1

Answer:

Given quadratic equation: x²-3√5x+10=0. => x²-2√5x-√5x+10=0. => x²-2√5x-√5x+2×5=0. => x²-2√5x+√5x +2×√5×√5=0. => x(x-2√5)-√5(x-2√5)=0. => (x-2√5)(x-√5)=0. => x-2√5 =0 Or x-√5 = 0. => x = 2√5 Or x = √5.

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Answer 2

Step-by-step explanation:

x= {-b±√b²-4ac}/2a

x= 3√5±√45-4×10 /2

= 3√5±√5 /2

x=2√5 or √5

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