Question

the greatest solution of x in the equation x^2+8x−30=18

Answer 1

Answer:

The two possible outcomes are 4 and -12, so 4

Step-by-step explanation:

Answer 2

The greatest value of x  is 4.

What is factorization?

Factorization is when you break a number down into smaller numbers that, multiplied together, give you that original number. When you split a number into its factors or divisors, that's factorization.

Given equation

⇒ $x^{2} +8x-30 = 18$

⇒ $x^{2} +8x-30-18=0$

⇒ $x^{2} +8x-48=0$

⇒ $x^{2} +12x-4x-48=0$

⇒ $x(x+12)-4(x+12)=0$

⇒ $(x+12)(x-4)=0$

x = -12 and x = 4

Hence, the greatest value of x  is 4.

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