The square of a number is added to two times the number and the sum is 24.

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Sally Cresswell · Accepted Answer

Let he number be x. The question is simply: X2+2x=24  X2+2x−24=0 (x−4)(x+6)=0 Therefore x can be either 4 or - 6.

Vasquez · Accepted Answer

Let&#039;s assume the number as x. According to the problem statement, the square of the number is added to two times the number, and the sum is equal to 24. We can represent this information mathematically as:x2+2x=24To solve this equation, we can rearrange it into a quadratic equation form by subtracting 24 from both sides:x2+2x−24=0Now, we can solve this quadratic equation. To do so, we can either factorize it or use the quadratic formula. Let&#039;s use the quadratic formula to find the solutions. The quadratic formula states that for an equation of the form ax2+bx+c=0, the solutions for x are given by:x=−b±b2−4ac2aComparing our quadratic equation to the general form, we have a=1, b=2, and c=−24. Substituting these values into the quadratic formula, we get:x=−2±22−4·1·−242·1Simplifying further:x=−2±4+962x=−2±1002x=−2±102Now, we can evaluate the two possible solutions:x1=−2+102=4x2=−2−102=−6Hence, the two solutions for the given equation are x=4 and x=−6.

RizerMix · Accepted Answer

Answer:x=−6 and x=4Explanation:x2+2x=24To solve this equation, we need to rearrange it into a quadratic equation form, where one side is equal to zero. Let&#039;s subtract 24 from both sides:x2+2x−24=0Now, we can factor this quadratic equation. We are looking for two numbers that multiply to -24 and add up to 2. The factors that satisfy these conditions are 6 and -4. Therefore, we can rewrite the equation as:(x+6)(x−4)=0To find the solutions, we set each factor equal to zero and solve for x.Setting x+6=0, we have:x=−6Setting x−4=0, we have:x=4Therefore, the solutions to the equation are x=−6 and x=4.

user_27qwe · Accepted Answer

To solve the given problem, let&#039;s assume the number as x. According to the problem statement, we have the equation:x2+2x=24To solve this quadratic equation, we need to rearrange it into the standard form:x2+2x−24=0Now, we can solve this quadratic equation using factoring or the quadratic formula. Let&#039;s solve it using factoring:(x−4)(x+6)=0Setting each factor equal to zero, we have:x−4=0orx+6=0Solving these equations, we find:x=4orx=−6Therefore, the possible solutions for the given equation are x=4 or x=−6.

The square of a number is added to two times the number and the sum is 24.

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