Find the Roots of the quadratic equation x^(2)-3x-10=0 using Factorization method

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Find the Roots of the quadratic equation  x^(2)-3x-10=0 using Factorization method

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Write Quadratic Equation: Write down the quadratic equation that needs to be solved. The given quadratic equation is x^2 - 3x - 10 = 0.Factorize Equation: Factorize the quadratic equation. To factorize x^2 - 3x - 10 = 0, we need to find two numbers that multiply to -10 and add up to -3.Find Factorization Numbers: Find the two numbers that satisfy the conditions for factorization. The numbers -5 and 2 multiply to -10 and add up to -3. Therefore, we can write the quadratic equation as (x - 5)(x + 2) = 0.Set Equations Equal: Set each factor equal to zero and solve for x. Setting each factor equal to zero gives us two equations: x - 5 = 0 and x + 2 = 0.Solve First Equation: Solve the first equation x - 5 = 0. Adding 5 to both sides of the equation x - 5 = 0 gives us x = 5.Solve Second Equation: Solve the second equation x + 2 = 0. Subtracting 2 from both sides of the equation x + 2 = 0 gives us x = -2.Write Roots: Write down the roots of the quadratic equation. The roots of the equation x^2 - 3x - 10 = 0 are x = 5 and x = -2.

Find the Roots of the quadratic equation $\newline$ $x^{2}-3x-10=0$ using Factorization method

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Find the Roots of the quadratic equation \newlinex2−3x−10=0x^{2}-3x-10=0x2−3x−10=0 using Factorization method

Find the Roots of the quadratic equation $\newline$ $x^{2}-3x-10=0$ using Factorization method