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  • Symbolab – Trusted Online AI Math Solver Smart Math Calculator
    When a student enters a problem, whether it’s carefully typed in math notation like $$x^2 - 5x + 6 = 0$$ or a more abstract request like “solve a quadratic equation,” Symbolab’s AI understands both
  • Equation Solver: Step-by-Step Calculator - Wolfram|Alpha
    Free Equation Solver helps you to calculate linear, quadratic and polynomial systems of equations Answers, graphs, roots, alternate forms
  • Solve px^2-(2p+1)x+2=0 | Microsoft Math Solver
    For what value of p does the quadratic x2−2px+p+2 = 0 have exactly one solution? \displaystyle {p}=- {1} or \displaystyle {p}= {2} Explanation: The roots of a quadratic \displaystyle {a} {x}^ { {2}}+ {b} {x}+ {c}= {0} are equal when the discriminant ( \displaystyle {b}^ { {2}}- {4} {a} {c}
  • Polynomial Equation Calculator - Symbolab
    Take something like: $x² − 5x + 6 = 0$ The numbers whisper their own logic—two values that multiply to 6 and add to −5 And just like that: $(x − 2)(x − 3) = 0$ Now the roots arrive without resistance: $x = 2$ and $x = 3$ The equation lets go of its tension But not all polynomials are this kind Some resist factoring Some need
  • Find the zeroes of the polynomial x 2 + x - p(p + 1) - Cuemath
    Answer: The zeroes of a polynomial are: p - 1 and p Let us proceed step by step Explanation: From the given polynomial x 2 + x - p (p + 1) Step 1: Equating the given polynomial with 0 => x 2 + x - p (p + 1) = 0 Step 2: Factorize the given polynomial and get the required factors After factorizing the given polynomial, we get
  • If (1 – p) is a root of the equation x2 + px + 1 – p = 0, then roots . . .
    If (1 – p) is a root of the equation x 2 + px + 1 – p = 0, then roots are: (1 – p) is a root ∴ Roots are 0 and – 1 Nature of Roots of a Quadratic Equation Is there an error in this question or solution?
  • Find the Zeroes of the Polynomial `X^2 + X – P(P + 1) ` - Mathematics
    Find the zeroes of the quadratic polynomial `f(x) = 5x^2 ˗ 4 ˗ 8x` and verify the relationship between the zeroes and coefficients of the given polynomial If one zero of the quadratic polynomial `kx^2 + 3x + k is 2`, then find the value of k
  • Explain proof of irreducibility of $x^{p-1} + 2x^{p-2}+ \\dots +(p-1)x + p$
    Show xp − 1 + 2xp − 2 + 3xp − 3 + ⋯ + (p − 1)x + p is irreducible over Z[X] The proof first shows that the polynomial P(x) = xp − 1 + 2xp − 2 + 3xp − 3 + ⋯ + (p − 1)x + p only has zeros of absolute value > 1
  • Solve p^2-p-1 | Microsoft Math Solver
    All equations of the form ax^ {2}+bx+c=0 can be solved using the quadratic formula: \frac {-b±\sqrt {b^ {2}-4ac}} {2a} The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction Now solve the equation p=\frac {1±\sqrt {5}} {2} when ± is plus Add 1 to \sqrt {5}
  • Solve x^2- (p-2)x+2p+1=0 | Microsoft Math Solver
    Use the distributive property to multiply p-2 by x To find the opposite of px-2x, find the opposite of each term Subtract x^ {2} from both sides Anything subtracted from zero gives its negation Dividing by -x+2 undoes the multiplication by -x+2





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