Man asked in Science & MathematicsMathematics · 8 years ago

# Can you answer this math problem(explain)?

x^2=3x+10

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• 8 years ago

First, collect all terms to the left side, and you are starting with x^2 - 3x - 10 = 0. Now you recognize that you have a quadratic equation. There are (at least) three ways you can solve quadratic equations: (1) through factoring, (2) completing-the-square; or (3) quadratic formula. For monic quadratics (i.e. quadratics that have a leading coefficient on the x^2 term of 1) it is smart to consider factoring, before moving to the quadratic formula. In this case, in order to factor, you need factors of -10 that sum to -3. These are -5 and 2. Thus x^2 - 3x - 10 = (x-5)(x+2) = 0, and the solutions are x=5 and x=-2.

If you need more help, please clarify where you are in the process and what's giving you trouble. I'd be more than happy to continue to assist.

• 8 years ago

x^2=3x+10

x^2-3x-10=0

(x-5)(x+2)=0

x= 5 or -2 (plug back into original equation to check).

Hope this helps!

• 8 years ago

first you put everything to one side

x^2 - 3x -10=0

then you can factor it

(x-5)(x+2)=0

so then x=5, -2