If α,β are the roots of the quadratic equation 2×2 – 3x – 4 = 0, find the equation
whose roots are α^2 and ,β^2.

Question

If α,β are the roots of the quadratic equation 2x2 – 3x – 4 = 0, find the equation whose roots are α^2 and  ,β^2.​

Parker · Answer

Step-by-step explanation:    2x²-3x-4=0  Consider alpha as ‘A’ and beta as ‘B’.  A+B = -b/a = 3/2  AB = c/a = -4/2 = -2     (A+B)²=A²+B²+2AB   (3/2)²=A²+B²+2×(-2)  9/4=A²+B²-4  9/4-4=A²+B²  A²+B²=(9-16)/4 = -7/4

Jasmine

8. A e B together can do a piece of world in
15 days & ‘A’ alone can do it in 30 days. How
long will s take to compl

lim
[tex] \sqrt{1 – x – 1 \div x} [/tex]

1 thought on “If α,β are the roots of the quadratic equation 2×2 – 3x – 4 = 0, find the equation<br />whose roots are α^2 and ,β^2.”

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If α,β are the roots of the quadratic equation 2×2 – 3x – 4 = 0, find the equationwhose roots are α^2 and ,β^2.​

Jasmine

8. A e B together can do a piece of world in15 days & ‘A’ alone can do it in 30 days. Howlong will s take to compl

lim [tex] \sqrt{1 – x – 1 \div x} [/tex]​

1 thought on “If α,β are the roots of the quadratic equation 2×2 – 3x – 4 = 0, find the equation<br />whose roots are α^2 and ,β^2.​”