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Solve the equation (x+2)(x+3)(x+8)xx(x+1...

Solve the equation `(x+2)(x+3)(x+8)xx(x+12)=4x^2dot`

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To solve the equation \((x+2)(x+3)(x+8)(x+12) = 4x^2\), we will follow a systematic approach: ### Step 1: Expand the left-hand side We start by expanding the left-hand side of the equation: \[ (x+2)(x+3) = x^2 + 5x + 6 \] \[ ...
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CENGAGE ENGLISH-THEORY OF EQUATIONS-ILLUSTRATION
  1. Solve the equation 3x^(2-x)+4x^2=25.

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  2. Solve the equation (x-1)^4+(x-5)^4=82.

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  3. Solve the equation (x+2)(x+3)(x+8)xx(x+12)=4x^2dot

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  4. If the roots of the equation x^2-8x+a^2-6a=0 are real distinct, then f...

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  5. If the roots of the equation a(b-c)x^2+b(c-a)x+c(a-b)=0 are equal, sho...

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  6. Prove that the roots of the equation (a^4+b^4)x^2+4a b c dx+(c^4+d^4)=...

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  7. If roots of equation x^3-2c x+a b=0 are real and unequal, then prove t...

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  8. Find the quadratic equation with rational coefficients whose one root ...

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  9. If f(x)=a x^2+b x+c ,g(x)=-a x^2+b x+c ,where ac!=0, then prove that f...

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  10. If a ,b ,c(a b c^2)x^2+3a^2c x+b^2c x-6a^2-a b+2b^2=0 ares rational.

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  11. If a gt 0 and b^(2) - 4 ac = 0 then solve ax^(3) + (a + b) x^(2) + (b ...

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  12. If a ,b ,a n dc are odd integers, then prove that roots of a x^2+b x+c...

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  13. If aa n dc are odd prime numbers and a x 62+b x+c=0 has rational roots...

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  14. Find the range of the fuction f(x) = x^(2) - 2x -4

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  15. Find the least value of ((6x^2-22 x+21))/((5x^2-18x+17)) for real xdot

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  16. Prove that if the equation x^2+9y^2-4x+3=0 is satisfied for real value...

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  17. The least value of the expression x^2+4y^2+3z^2-2x-12 y-6z+14 is 3 b. ...

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  18. Find the linear factors of 2x^2-y^2-x+x y+2y-1.

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  19. If the expression 2x^(2)+mxy+3y^(2)-5y-2 can be resolved into two rati...

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  20. Form a quadratic equation whose roots are -4a n d6.

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